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Simplifying 22 + -3a = -8(8 + -5a) 22 + -3a = (8 * -8 + -5a * -8) 22 + -3a = (-64 + 40a) Solving 22 + -3a = -64 + 40a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-40a' to each side of the equation. 22 + -3a + -40a = -64 + 40a + -40a Combine like terms: -3a + -40a = -43a 22 + -43a = -64 + 40a + -40a Combine like terms: 40a + -40a = 0 22 + -43a = -64 + 0 22 + -43a = -64 Add '-22' to each side of the equation. 22 + -22 + -43a = -64 + -22 Combine like terms: 22 + -22 = 0 0 + -43a = -64 + -22 -43a = -64 + -22 Combine like terms: -64 + -22 = -86 -43a = -86 Divide each side by '-43'. a = 2 Simplifying a = 2
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