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Simplifying 6(9 + -8) + 9 = 3(a + -7) Combine like terms: 9 + -8 = 1 6(1) + 9 = 3(a + -7) Multiply 6 * 1 6 + 9 = 3(a + -7) Combine like terms: 6 + 9 = 15 15 = 3(a + -7) Reorder the terms: 15 = 3(-7 + a) 15 = (-7 * 3 + a * 3) 15 = (-21 + 3a) Solving 15 = -21 + 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. 15 + -3a = -21 + 3a + -3a Combine like terms: 3a + -3a = 0 15 + -3a = -21 + 0 15 + -3a = -21 Add '-15' to each side of the equation. 15 + -15 + -3a = -21 + -15 Combine like terms: 15 + -15 = 0 0 + -3a = -21 + -15 -3a = -21 + -15 Combine like terms: -21 + -15 = -36 -3a = -36 Divide each side by '-3'. a = 12 Simplifying a = 12
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