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Simplifying (2 + -15a)(7 + -4) + 18 = 114 Combine like terms: 7 + -4 = 3 (2 + -15a)(3) + 18 = 114 Reorder the terms for easier multiplication: 3(2 + -15a) + 18 = 114 (2 * 3 + -15a * 3) + 18 = 114 (6 + -45a) + 18 = 114 Reorder the terms: 6 + 18 + -45a = 114 Combine like terms: 6 + 18 = 24 24 + -45a = 114 Solving 24 + -45a = 114 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -45a = 114 + -24 Combine like terms: 24 + -24 = 0 0 + -45a = 114 + -24 -45a = 114 + -24 Combine like terms: 114 + -24 = 90 -45a = 90 Divide each side by '-45'. a = -2 Simplifying a = -2
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