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Simplifying 7 + -5(1 + 4a) = 32 7 + (1 * -5 + 4a * -5) = 32 7 + (-5 + -20a) = 32 Combine like terms: 7 + -5 = 2 2 + -20a = 32 Solving 2 + -20a = 32 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -20a = 32 + -2 Combine like terms: 2 + -2 = 0 0 + -20a = 32 + -2 -20a = 32 + -2 Combine like terms: 32 + -2 = 30 -20a = 30 Divide each side by '-20'. a = -1.5 Simplifying a = -1.5
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