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Simplifying (a + -3)(1 + 7) + -2 = 14 Reorder the terms: (-3 + a)(1 + 7) + -2 = 14 Combine like terms: 1 + 7 = 8 (-3 + a)(8) + -2 = 14 Reorder the terms for easier multiplication: 8(-3 + a) + -2 = 14 (-3 * 8 + a * 8) + -2 = 14 (-24 + 8a) + -2 = 14 Reorder the terms: -24 + -2 + 8a = 14 Combine like terms: -24 + -2 = -26 -26 + 8a = 14 Solving -26 + 8a = 14 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 8a = 14 + 26 Combine like terms: -26 + 26 = 0 0 + 8a = 14 + 26 8a = 14 + 26 Combine like terms: 14 + 26 = 40 8a = 40 Divide each side by '8'. a = 5 Simplifying a = 5
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