To solve the equation \( 77a + 33 = 33a - 70 \), follow these steps:
Combine like terms: Start by moving all terms involving \( a \) to one side and constant terms to the other.
Subtract \( 33a \) from both sides: \[ 77a - 33a + 33 = -70 \] This simplifies to: \[ 44a + 33 = -70 \]
Move the constant term: Next, subtract \( 33 \) from both sides: \[ 44a = -70 - 33 \] This simplifies to: \[ 44a = -103 \]
Solve for \( a \): Divide both sides by \( 44 \): \[ a = \frac{-103}{44} \]
Thus, the solution to the equation is \[ a = -\frac{103}{44} \] or approximately \( -2.34 \).