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Simplifying 8M + -1(7M + 5) = -8 + -1(M + 12) Reorder the terms: 8M + -1(5 + 7M) = -8 + -1(M + 12) 8M + (5 * -1 + 7M * -1) = -8 + -1(M + 12) 8M + (-5 + -7M) = -8 + -1(M + 12) Reorder the terms: -5 + 8M + -7M = -8 + -1(M + 12) Combine like terms: 8M + -7M = 1M -5 + 1M = -8 + -1(M + 12) Reorder the terms: -5 + 1M = -8 + -1(12 + M) -5 + 1M = -8 + (12 * -1 + M * -1) -5 + 1M = -8 + (-12 + -1M) Combine like terms: -8 + -12 = -20 -5 + 1M = -20 + -1M Solving -5 + 1M = -20 + -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. -5 + 1M + M = -20 + -1M + M Combine like terms: 1M + M = 2M -5 + 2M = -20 + -1M + M Combine like terms: -1M + M = 0 -5 + 2M = -20 + 0 -5 + 2M = -20 Add '5' to each side of the equation. -5 + 5 + 2M = -20 + 5 Combine like terms: -5 + 5 = 0 0 + 2M = -20 + 5 2M = -20 + 5 Combine like terms: -20 + 5 = -15 2M = -15 Divide each side by '2'. M = -7.5 Simplifying M = -7.5
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