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Simplifying -4 + 5(1 + -3a) = -74 -4 + (1 * 5 + -3a * 5) = -74 -4 + (5 + -15a) = -74 Combine like terms: -4 + 5 = 1 1 + -15a = -74 Solving 1 + -15a = -74 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -15a = -74 + -1 Combine like terms: 1 + -1 = 0 0 + -15a = -74 + -1 -15a = -74 + -1 Combine like terms: -74 + -1 = -75 -15a = -75 Divide each side by '-15'. a = 5 Simplifying a = 5
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