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Simplifying 120 = -4 + 4(3 + 4a) 120 = -4 + (3 * 4 + 4a * 4) 120 = -4 + (12 + 16a) Combine like terms: -4 + 12 = 8 120 = 8 + 16a Solving 120 = 8 + 16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16a' to each side of the equation. 120 + -16a = 8 + 16a + -16a Combine like terms: 16a + -16a = 0 120 + -16a = 8 + 0 120 + -16a = 8 Add '-120' to each side of the equation. 120 + -120 + -16a = 8 + -120 Combine like terms: 120 + -120 = 0 0 + -16a = 8 + -120 -16a = 8 + -120 Combine like terms: 8 + -120 = -112 -16a = -112 Divide each side by '-16'. a = 7 Simplifying a = 7
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