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Simplifying (a + -12)(1 + -3) + 15 = 1 Reorder the terms: (-12 + a)(1 + -3) + 15 = 1 Combine like terms: 1 + -3 = -2 (-12 + a)(-2) + 15 = 1 Reorder the terms for easier multiplication: -2(-12 + a) + 15 = 1 (-12 * -2 + a * -2) + 15 = 1 (24 + -2a) + 15 = 1 Reorder the terms: 24 + 15 + -2a = 1 Combine like terms: 24 + 15 = 39 39 + -2a = 1 Solving 39 + -2a = 1 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + -2a = 1 + -39 Combine like terms: 39 + -39 = 0 0 + -2a = 1 + -39 -2a = 1 + -39 Combine like terms: 1 + -39 = -38 -2a = -38 Divide each side by '-2'. a = 19 Simplifying a = 19
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