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Simplifying 3(a + -12) = 2(a + 6) Reorder the terms: 3(-12 + a) = 2(a + 6) (-12 * 3 + a * 3) = 2(a + 6) (-36 + 3a) = 2(a + 6) Reorder the terms: -36 + 3a = 2(6 + a) -36 + 3a = (6 * 2 + a * 2) -36 + 3a = (12 + 2a) Solving -36 + 3a = 12 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -36 + 3a + -2a = 12 + 2a + -2a Combine like terms: 3a + -2a = 1a -36 + 1a = 12 + 2a + -2a Combine like terms: 2a + -2a = 0 -36 + 1a = 12 + 0 -36 + 1a = 12 Add '36' to each side of the equation. -36 + 36 + 1a = 12 + 36 Combine like terms: -36 + 36 = 0 0 + 1a = 12 + 36 1a = 12 + 36 Combine like terms: 12 + 36 = 48 1a = 48 Divide each side by '1'. a = 48 Simplifying a = 48
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