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Simplifying 4(m + -3) = 10m + -1(M + 2) Reorder the terms: 4(-3 + m) = 10m + -1(M + 2) (-3 * 4 + m * 4) = 10m + -1(M + 2) (-12 + 4m) = 10m + -1(M + 2) Reorder the terms: -12 + 4m = 10m + -1(2 + M) -12 + 4m = 10m + (2 * -1 + M * -1) -12 + 4m = 10m + (-2 + -1M) Reorder the terms: -12 + 4m = -2 + -1M + 10m Solving -12 + 4m = -2 + -1M + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. -12 + 4m + -10m = -2 + -1M + 10m + -10m Combine like terms: 4m + -10m = -6m -12 + -6m = -2 + -1M + 10m + -10m Combine like terms: 10m + -10m = 0 -12 + -6m = -2 + -1M + 0 -12 + -6m = -2 + -1M Add '12' to each side of the equation. -12 + 12 + -6m = -2 + 12 + -1M Combine like terms: -12 + 12 = 0 0 + -6m = -2 + 12 + -1M -6m = -2 + 12 + -1M Combine like terms: -2 + 12 = 10 -6m = 10 + -1M Divide each side by '-6'. m = -1.666666667 + 0.1666666667M Simplifying m = -1.666666667 + 0.1666666667M
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