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Simplifying 5(a + -4) + -1(8a) = 55 Reorder the terms: 5(-4 + a) + -1(8a) = 55 (-4 * 5 + a * 5) + -1(8a) = 55 (-20 + 5a) + -1(8a) = 55 Remove parenthesis around (8a) -20 + 5a + -1 * 8a = 55 Multiply -1 * 8 -20 + 5a + -8a = 55 Combine like terms: 5a + -8a = -3a -20 + -3a = 55 Solving -20 + -3a = 55 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -3a = 55 + 20 Combine like terms: -20 + 20 = 0 0 + -3a = 55 + 20 -3a = 55 + 20 Combine like terms: 55 + 20 = 75 -3a = 75 Divide each side by '-3'. a = -25 Simplifying a = -25
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