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Simplifying 5(1 + -3a) = 25 + 5a (1 * 5 + -3a * 5) = 25 + 5a (5 + -15a) = 25 + 5a Solving 5 + -15a = 25 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 5 + -15a + -5a = 25 + 5a + -5a Combine like terms: -15a + -5a = -20a 5 + -20a = 25 + 5a + -5a Combine like terms: 5a + -5a = 0 5 + -20a = 25 + 0 5 + -20a = 25 Add '-5' to each side of the equation. 5 + -5 + -20a = 25 + -5 Combine like terms: 5 + -5 = 0 0 + -20a = 25 + -5 -20a = 25 + -5 Combine like terms: 25 + -5 = 20 -20a = 20 Divide each side by '-20'. a = -1 Simplifying a = -1
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