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Simplifying -1(3 + -5(-1a + -3) + -7) = [(5 + -1a) + -7 + -8] Reorder the terms: -1(3 + -5(-3 + -1a) + -7) = [(5 + -1a) + -7 + -8] -1(3 + (-3 * -5 + -1a * -5) + -7) = [(5 + -1a) + -7 + -8] -1(3 + (15 + 5a) + -7) = [(5 + -1a) + -7 + -8] Reorder the terms: -1(3 + 15 + -7 + 5a) = [(5 + -1a) + -7 + -8] Combine like terms: 3 + 15 = 18 -1(18 + -7 + 5a) = [(5 + -1a) + -7 + -8] Combine like terms: 18 + -7 = 11 -1(11 + 5a) = [(5 + -1a) + -7 + -8] (11 * -1 + 5a * -1) = [(5 + -1a) + -7 + -8] (-11 + -5a) = [(5 + -1a) + -7 + -8] Remove parenthesis around (5 + -1a) -11 + -5a = [5 + -1a + -7 + -8] Reorder the terms: -11 + -5a = [5 + -7 + -8 + -1a] Combine like terms: 5 + -7 = -2 -11 + -5a = [-2 + -8 + -1a] Combine like terms: -2 + -8 = -10 -11 + -5a = [-10 + -1a] Remove brackets around [-10 + -1a] -11 + -5a = -10 + -1a Solving -11 + -5a = -10 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -11 + -5a + a = -10 + -1a + a Combine like terms: -5a + a = -4a -11 + -4a = -10 + -1a + a Combine like terms: -1a + a = 0 -11 + -4a = -10 + 0 -11 + -4a = -10 Add '11' to each side of the equation. -11 + 11 + -4a = -10 + 11 Combine like terms: -11 + 11 = 0 0 + -4a = -10 + 11 -4a = -10 + 11 Combine like terms: -10 + 11 = 1 -4a = 1 Divide each side by '-4'. a = -0.25 Simplifying a = -0.25
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