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Simplifying -6(5a + 8) + 7a = -117 Reorder the terms: -6(8 + 5a) + 7a = -117 (8 * -6 + 5a * -6) + 7a = -117 (-48 + -30a) + 7a = -117 Combine like terms: -30a + 7a = -23a -48 + -23a = -117 Solving -48 + -23a = -117 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -23a = -117 + 48 Combine like terms: -48 + 48 = 0 0 + -23a = -117 + 48 -23a = -117 + 48 Combine like terms: -117 + 48 = -69 -23a = -69 Divide each side by '-23'. a = 3 Simplifying a = 3
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