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Simplifying 3(a + -4) * 12 = 5(a + 1) Reorder the terms: 3(-4 + a) * 12 = 5(a + 1) Reorder the terms for easier multiplication: 3 * 12(-4 + a) = 5(a + 1) Multiply 3 * 12 36(-4 + a) = 5(a + 1) (-4 * 36 + a * 36) = 5(a + 1) (-144 + 36a) = 5(a + 1) Reorder the terms: -144 + 36a = 5(1 + a) -144 + 36a = (1 * 5 + a * 5) -144 + 36a = (5 + 5a) Solving -144 + 36a = 5 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -144 + 36a + -5a = 5 + 5a + -5a Combine like terms: 36a + -5a = 31a -144 + 31a = 5 + 5a + -5a Combine like terms: 5a + -5a = 0 -144 + 31a = 5 + 0 -144 + 31a = 5 Add '144' to each side of the equation. -144 + 144 + 31a = 5 + 144 Combine like terms: -144 + 144 = 0 0 + 31a = 5 + 144 31a = 5 + 144 Combine like terms: 5 + 144 = 149 31a = 149 Divide each side by '31'. a = 4.806451613 Simplifying a = 4.806451613
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