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Simplifying -59 = -5(4a + -4) + 1 Reorder the terms: -59 = -5(-4 + 4a) + 1 -59 = (-4 * -5 + 4a * -5) + 1 -59 = (20 + -20a) + 1 Reorder the terms: -59 = 20 + 1 + -20a Combine like terms: 20 + 1 = 21 -59 = 21 + -20a Solving -59 = 21 + -20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '20a' to each side of the equation. -59 + 20a = 21 + -20a + 20a Combine like terms: -20a + 20a = 0 -59 + 20a = 21 + 0 -59 + 20a = 21 Add '59' to each side of the equation. -59 + 59 + 20a = 21 + 59 Combine like terms: -59 + 59 = 0 0 + 20a = 21 + 59 20a = 21 + 59 Combine like terms: 21 + 59 = 80 20a = 80 Divide each side by '20'. a = 4 Simplifying a = 4
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