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Simplifying -6(2a + 2) = 3(a + 6) Reorder the terms: -6(2 + 2a) = 3(a + 6) (2 * -6 + 2a * -6) = 3(a + 6) (-12 + -12a) = 3(a + 6) Reorder the terms: -12 + -12a = 3(6 + a) -12 + -12a = (6 * 3 + a * 3) -12 + -12a = (18 + 3a) Solving -12 + -12a = 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 + -12a + -3a = 18 + 3a + -3a Combine like terms: -12a + -3a = -15a -12 + -15a = 18 + 3a + -3a Combine like terms: 3a + -3a = 0 -12 + -15a = 18 + 0 -12 + -15a = 18 Add '12' to each side of the equation. -12 + 12 + -15a = 18 + 12 Combine like terms: -12 + 12 = 0 0 + -15a = 18 + 12 -15a = 18 + 12 Combine like terms: 18 + 12 = 30 -15a = 30 Divide each side by '-15'. a = -2 Simplifying a = -2
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