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Simplifying 5 + 7(1 + -2a) = 33 5 + (1 * 7 + -2a * 7) = 33 5 + (7 + -14a) = 33 Combine like terms: 5 + 7 = 12 12 + -14a = 33 Solving 12 + -14a = 33 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -14a = 33 + -12 Combine like terms: 12 + -12 = 0 0 + -14a = 33 + -12 -14a = 33 + -12 Combine like terms: 33 + -12 = 21 -14a = 21 Divide each side by '-14'. a = -1.5 Simplifying a = -1.5
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