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Simplifying 4(m + -3) = 10m + -8(m + -7) Reorder the terms: 4(-3 + m) = 10m + -8(m + -7) (-3 * 4 + m * 4) = 10m + -8(m + -7) (-12 + 4m) = 10m + -8(m + -7) Reorder the terms: -12 + 4m = 10m + -8(-7 + m) -12 + 4m = 10m + (-7 * -8 + m * -8) -12 + 4m = 10m + (56 + -8m) Reorder the terms: -12 + 4m = 56 + 10m + -8m Combine like terms: 10m + -8m = 2m -12 + 4m = 56 + 2m Solving -12 + 4m = 56 + 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. -12 + 4m + -2m = 56 + 2m + -2m Combine like terms: 4m + -2m = 2m -12 + 2m = 56 + 2m + -2m Combine like terms: 2m + -2m = 0 -12 + 2m = 56 + 0 -12 + 2m = 56 Add '12' to each side of the equation. -12 + 12 + 2m = 56 + 12 Combine like terms: -12 + 12 = 0 0 + 2m = 56 + 12 2m = 56 + 12 Combine like terms: 56 + 12 = 68 2m = 68 Divide each side by '2'. m = 34 Simplifying m = 34
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