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Simplifying 3(a + -4) = 6a + -1(a + 12) Reorder the terms: 3(-4 + a) = 6a + -1(a + 12) (-4 * 3 + a * 3) = 6a + -1(a + 12) (-12 + 3a) = 6a + -1(a + 12) Reorder the terms: -12 + 3a = 6a + -1(12 + a) -12 + 3a = 6a + (12 * -1 + a * -1) -12 + 3a = 6a + (-12 + -1a) Reorder the terms: -12 + 3a = -12 + 6a + -1a Combine like terms: 6a + -1a = 5a -12 + 3a = -12 + 5a Add '12' to each side of the equation. -12 + 12 + 3a = -12 + 12 + 5a Combine like terms: -12 + 12 = 0 0 + 3a = -12 + 12 + 5a 3a = -12 + 12 + 5a Combine like terms: -12 + 12 = 0 3a = 0 + 5a 3a = 5a Solving 3a = 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. 3a + -5a = 5a + -5a Combine like terms: 3a + -5a = -2a -2a = 5a + -5a Combine like terms: 5a + -5a = 0 -2a = 0 Divide each side by '-2'. a = 0 Simplifying a = 0
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