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Simplifying -84 = -4(1 + -5a) -84 = (1 * -4 + -5a * -4) -84 = (-4 + 20a) Solving -84 = -4 + 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. -84 + -20a = -4 + 20a + -20a Combine like terms: 20a + -20a = 0 -84 + -20a = -4 + 0 -84 + -20a = -4 Add '84' to each side of the equation. -84 + 84 + -20a = -4 + 84 Combine like terms: -84 + 84 = 0 0 + -20a = -4 + 84 -20a = -4 + 84 Combine like terms: -4 + 84 = 80 -20a = 80 Divide each side by '-20'. a = -4 Simplifying a = -4
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