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Simplifying -3(12 + -1M) * 5 = -1(M + -8) Reorder the terms for easier multiplication: -3 * 5(12 + -1M) = -1(M + -8) Multiply -3 * 5 -15(12 + -1M) = -1(M + -8) (12 * -15 + -1M * -15) = -1(M + -8) (-180 + 15M) = -1(M + -8) Reorder the terms: -180 + 15M = -1(-8 + M) -180 + 15M = (-8 * -1 + M * -1) -180 + 15M = (8 + -1M) Solving -180 + 15M = 8 + -1M Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add 'M' to each side of the equation. -180 + 15M + M = 8 + -1M + M Combine like terms: 15M + M = 16M -180 + 16M = 8 + -1M + M Combine like terms: -1M + M = 0 -180 + 16M = 8 + 0 -180 + 16M = 8 Add '180' to each side of the equation. -180 + 180 + 16M = 8 + 180 Combine like terms: -180 + 180 = 0 0 + 16M = 8 + 180 16M = 8 + 180 Combine like terms: 8 + 180 = 188 16M = 188 Divide each side by '16'. M = 11.75 Simplifying M = 11.75
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