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Simplifying -1(12 + -1a) = 3(a + 14) (12 * -1 + -1a * -1) = 3(a + 14) (-12 + 1a) = 3(a + 14) Reorder the terms: -12 + 1a = 3(14 + a) -12 + 1a = (14 * 3 + a * 3) -12 + 1a = (42 + 3a) Solving -12 + 1a = 42 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -12 + 1a + -3a = 42 + 3a + -3a Combine like terms: 1a + -3a = -2a -12 + -2a = 42 + 3a + -3a Combine like terms: 3a + -3a = 0 -12 + -2a = 42 + 0 -12 + -2a = 42 Add '12' to each side of the equation. -12 + 12 + -2a = 42 + 12 Combine like terms: -12 + 12 = 0 0 + -2a = 42 + 12 -2a = 42 + 12 Combine like terms: 42 + 12 = 54 -2a = 54 Divide each side by '-2'. a = -27 Simplifying a = -27
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