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Simplifying 8(5 + -2a) + -13 = 9 (5 * 8 + -2a * 8) + -13 = 9 (40 + -16a) + -13 = 9 Reorder the terms: 40 + -13 + -16a = 9 Combine like terms: 40 + -13 = 27 27 + -16a = 9 Solving 27 + -16a = 9 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -16a = 9 + -27 Combine like terms: 27 + -27 = 0 0 + -16a = 9 + -27 -16a = 9 + -27 Combine like terms: 9 + -27 = -18 -16a = -18 Divide each side by '-16'. a = 1.125 Simplifying a = 1.125
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