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Simplifying -6(3 + -3a) + -8(6 + 5) = 32 (3 * -6 + -3a * -6) + -8(6 + 5) = 32 (-18 + 18a) + -8(6 + 5) = 32 Combine like terms: 6 + 5 = 11 -18 + 18a + -8(11) = 32 Multiply -8 * 11 -18 + 18a + -88 = 32 Reorder the terms: -18 + -88 + 18a = 32 Combine like terms: -18 + -88 = -106 -106 + 18a = 32 Solving -106 + 18a = 32 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '106' to each side of the equation. -106 + 106 + 18a = 32 + 106 Combine like terms: -106 + 106 = 0 0 + 18a = 32 + 106 18a = 32 + 106 Combine like terms: 32 + 106 = 138 18a = 138 Divide each side by '18'. a = 7.666666667 Simplifying a = 7.666666667
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