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Simplifying 6(a + -6) + 9 = 3(a + -4) Reorder the terms: 6(-6 + a) + 9 = 3(a + -4) (-6 * 6 + a * 6) + 9 = 3(a + -4) (-36 + 6a) + 9 = 3(a + -4) Reorder the terms: -36 + 9 + 6a = 3(a + -4) Combine like terms: -36 + 9 = -27 -27 + 6a = 3(a + -4) Reorder the terms: -27 + 6a = 3(-4 + a) -27 + 6a = (-4 * 3 + a * 3) -27 + 6a = (-12 + 3a) Solving -27 + 6a = -12 + 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. -27 + 6a + -3a = -12 + 3a + -3a Combine like terms: 6a + -3a = 3a -27 + 3a = -12 + 3a + -3a Combine like terms: 3a + -3a = 0 -27 + 3a = -12 + 0 -27 + 3a = -12 Add '27' to each side of the equation. -27 + 27 + 3a = -12 + 27 Combine like terms: -27 + 27 = 0 0 + 3a = -12 + 27 3a = -12 + 27 Combine like terms: -12 + 27 = 15 3a = 15 Divide each side by '3'. a = 5 Simplifying a = 5
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