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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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