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Simplifying 6(a + -12) = 9(a + 10) Reorder the terms: 6(-12 + a) = 9(a + 10) (-12 * 6 + a * 6) = 9(a + 10) (-72 + 6a) = 9(a + 10) Reorder the terms: -72 + 6a = 9(10 + a) -72 + 6a = (10 * 9 + a * 9) -72 + 6a = (90 + 9a) Solving -72 + 6a = 90 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. -72 + 6a + -9a = 90 + 9a + -9a Combine like terms: 6a + -9a = -3a -72 + -3a = 90 + 9a + -9a Combine like terms: 9a + -9a = 0 -72 + -3a = 90 + 0 -72 + -3a = 90 Add '72' to each side of the equation. -72 + 72 + -3a = 90 + 72 Combine like terms: -72 + 72 = 0 0 + -3a = 90 + 72 -3a = 90 + 72 Combine like terms: 90 + 72 = 162 -3a = 162 Divide each side by '-3'. a = -54 Simplifying a = -54
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