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Simplifying 3(M + -3) + -2(M + -4) = 2(M + -4) Reorder the terms: 3(-3 + M) + -2(M + -4) = 2(M + -4) (-3 * 3 + M * 3) + -2(M + -4) = 2(M + -4) (-9 + 3M) + -2(M + -4) = 2(M + -4) Reorder the terms: -9 + 3M + -2(-4 + M) = 2(M + -4) -9 + 3M + (-4 * -2 + M * -2) = 2(M + -4) -9 + 3M + (8 + -2M) = 2(M + -4) Reorder the terms: -9 + 8 + 3M + -2M = 2(M + -4) Combine like terms: -9 + 8 = -1 -1 + 3M + -2M = 2(M + -4) Combine like terms: 3M + -2M = 1M -1 + 1M = 2(M + -4) Reorder the terms: -1 + 1M = 2(-4 + M) -1 + 1M = (-4 * 2 + M * 2) -1 + 1M = (-8 + 2M) Solving -1 + 1M = -8 + 2M Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '-2M' to each side of the equation. -1 + 1M + -2M = -8 + 2M + -2M Combine like terms: 1M + -2M = -1M -1 + -1M = -8 + 2M + -2M Combine like terms: 2M + -2M = 0 -1 + -1M = -8 + 0 -1 + -1M = -8 Add '1' to each side of the equation. -1 + 1 + -1M = -8 + 1 Combine like terms: -1 + 1 = 0 0 + -1M = -8 + 1 -1M = -8 + 1 Combine like terms: -8 + 1 = -7 -1M = -7 Divide each side by '-1'. M = 7 Simplifying M = 7
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