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Simplifying 7(3 + -3a) + -8(6a + 5) = 32 (3 * 7 + -3a * 7) + -8(6a + 5) = 32 (21 + -21a) + -8(6a + 5) = 32 Reorder the terms: 21 + -21a + -8(5 + 6a) = 32 21 + -21a + (5 * -8 + 6a * -8) = 32 21 + -21a + (-40 + -48a) = 32 Reorder the terms: 21 + -40 + -21a + -48a = 32 Combine like terms: 21 + -40 = -19 -19 + -21a + -48a = 32 Combine like terms: -21a + -48a = -69a -19 + -69a = 32 Solving -19 + -69a = 32 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -69a = 32 + 19 Combine like terms: -19 + 19 = 0 0 + -69a = 32 + 19 -69a = 32 + 19 Combine like terms: 32 + 19 = 51 -69a = 51 Divide each side by '-69'. a = -0.7391304348 Simplifying a = -0.7391304348
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