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Simplifying 15 + -1(a + -12)(1 + -4) = 0 Reorder the terms: 15 + -1(-12 + a)(1 + -4) = 0 Combine like terms: 1 + -4 = -3 15 + -1(-12 + a)(-3) = 0 Reorder the terms for easier multiplication: 15 + -1 * -3(-12 + a) = 0 Multiply -1 * -3 15 + 3(-12 + a) = 0 15 + (-12 * 3 + a * 3) = 0 15 + (-36 + 3a) = 0 Combine like terms: 15 + -36 = -21 -21 + 3a = 0 Solving -21 + 3a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 3a = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 3a = 0 + 21 3a = 0 + 21 Combine like terms: 0 + 21 = 21 3a = 21 Divide each side by '3'. a = 7 Simplifying a = 7
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