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Simplifying -5(8a + -3) = 55 Reorder the terms: -5(-3 + 8a) = 55 (-3 * -5 + 8a * -5) = 55 (15 + -40a) = 55 Solving 15 + -40a = 55 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -40a = 55 + -15 Combine like terms: 15 + -15 = 0 0 + -40a = 55 + -15 -40a = 55 + -15 Combine like terms: 55 + -15 = 40 -40a = 40 Divide each side by '-40'. a = -1 Simplifying a = -1
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