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Simplifying 3(a + -4) + -12 = 5(a + 1) Reorder the terms: 3(-4 + a) + -12 = 5(a + 1) (-4 * 3 + a * 3) + -12 = 5(a + 1) (-12 + 3a) + -12 = 5(a + 1) Reorder the terms: -12 + -12 + 3a = 5(a + 1) Combine like terms: -12 + -12 = -24 -24 + 3a = 5(a + 1) Reorder the terms: -24 + 3a = 5(1 + a) -24 + 3a = (1 * 5 + a * 5) -24 + 3a = (5 + 5a) Solving -24 + 3a = 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. -24 + 3a + -5a = 5 + 5a + -5a Combine like terms: 3a + -5a = -2a -24 + -2a = 5 + 5a + -5a Combine like terms: 5a + -5a = 0 -24 + -2a = 5 + 0 -24 + -2a = 5 Add '24' to each side of the equation. -24 + 24 + -2a = 5 + 24 Combine like terms: -24 + 24 = 0 0 + -2a = 5 + 24 -2a = 5 + 24 Combine like terms: 5 + 24 = 29 -2a = 29 Divide each side by '-2'. a = -14.5 Simplifying a = -14.5
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