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Simplifying 2a + -12 = 3(a + -6) Reorder the terms: -12 + 2a = 3(a + -6) Reorder the terms: -12 + 2a = 3(-6 + a) -12 + 2a = (-6 * 3 + a * 3) -12 + 2a = (-18 + 3a) Solving -12 + 2a = -18 + 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 = -18 + 3a + -3a Combine like terms: 2a + -3a = -1a -12 + -1a = -18 + 3a + -3a Combine like terms: 3a + -3a = 0 -12 + -1a = -18 + 0 -12 + -1a = -18 Add '12' to each side of the equation. -12 + 12 + -1a = -18 + 12 Combine like terms: -12 + 12 = 0 0 + -1a = -18 + 12 -1a = -18 + 12 Combine like terms: -18 + 12 = -6 -1a = -6 Divide each side by '-1'. a = 6 Simplifying a = 6
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