Sure! Let's simplify each of these expressions step by step:
4) \(- 2(8k + 8) - 3(5k - 1)\)
Step 1: Distribute the constants. \[ - 2(8k) - 2(8) - 3(5k) + 3(1) = -16k - 16 - 15k + 3 \]
Step 2: Combine like terms. \[ -16k - 15k - 16 + 3 = -31k - 13 \]
Final Result: \[ -31k - 13 \]
5) \(- 8(2 - 2y) + 4(3 - 4y)\)
Step 1: Distribute the constants. \[ - 8(2) + 8(2y) + 4(3) - 4(4y) = -16 + 16y + 12 - 16y \]
Step 2: Combine like terms. \[ -16 + 12 + 16y - 16y = -4 \]
Final Result: \[ -4 \]
6) \((3x - 11) * 2 - 5 - (4 - 3x)\)
Step 1: Distribute the constants. \[ 2(3x) - 2(11) - 5 - 4 + 3x = 6x - 22 - 5 - 4 + 3x \]
Step 2: Combine like terms. \[ 6x + 3x - 22 - 5 - 4 = 9x - 31 \]
Final Result: \[ 9x - 31 \]
7) \((8a - 1) - (- 6) + (3a - 7) - (-2)\)
Step 1: Simplify the expression. \[ 8a - 1 + 6 + 3a - 7 + 2 = 8a + 3a - 1 + 6 - 7 + 2 \]
Step 2: Combine like terms. \[ 11a + ( -1 + 6 - 7 + 2) = 11a + 0 \]
Final Result: \[ 11a \]
8) \(- 0.5(- 2x + 4) - (10 - x)\)
Step 1: Distribute the constants. \[ -0.5(-2x) +0.5(4) - 10 + x = x - 2 + x - 10 \]
Step 2: Combine like terms. \[ x + x - 2 - 10 = 2x - 12 \]
Final Result: \[ 2x - 12 \]
If you have any more questions or need further assistance, feel free to ask!
