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Simplifying -3(a + 6) = 6(a + 9) Reorder the terms: -3(6 + a) = 6(a + 9) (6 * -3 + a * -3) = 6(a + 9) (-18 + -3a) = 6(a + 9) Reorder the terms: -18 + -3a = 6(9 + a) -18 + -3a = (9 * 6 + a * 6) -18 + -3a = (54 + 6a) Solving -18 + -3a = 54 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -18 + -3a + -6a = 54 + 6a + -6a Combine like terms: -3a + -6a = -9a -18 + -9a = 54 + 6a + -6a Combine like terms: 6a + -6a = 0 -18 + -9a = 54 + 0 -18 + -9a = 54 Add '18' to each side of the equation. -18 + 18 + -9a = 54 + 18 Combine like terms: -18 + 18 = 0 0 + -9a = 54 + 18 -9a = 54 + 18 Combine like terms: 54 + 18 = 72 -9a = 72 Divide each side by '-9'. a = -8 Simplifying a = -8
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