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Simplifying 2a + -12 = 3(a + -9) Reorder the terms: -12 + 2a = 3(a + -9) Reorder the terms: -12 + 2a = 3(-9 + a) -12 + 2a = (-9 * 3 + a * 3) -12 + 2a = (-27 + 3a) Solving -12 + 2a = -27 + 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 + 2a + -3a = -27 + 3a + -3a Combine like terms: 2a + -3a = -1a -12 + -1a = -27 + 3a + -3a Combine like terms: 3a + -3a = 0 -12 + -1a = -27 + 0 -12 + -1a = -27 Add '12' to each side of the equation. -12 + 12 + -1a = -27 + 12 Combine like terms: -12 + 12 = 0 0 + -1a = -27 + 12 -1a = -27 + 12 Combine like terms: -27 + 12 = -15 -1a = -15 Divide each side by '-1'. a = 15 Simplifying a = 15
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