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Simplifying 4(m + -3) + -2m = 8(m + 2) + 2 Reorder the terms: 4(-3 + m) + -2m = 8(m + 2) + 2 (-3 * 4 + m * 4) + -2m = 8(m + 2) + 2 (-12 + 4m) + -2m = 8(m + 2) + 2 Combine like terms: 4m + -2m = 2m -12 + 2m = 8(m + 2) + 2 Reorder the terms: -12 + 2m = 8(2 + m) + 2 -12 + 2m = (2 * 8 + m * 8) + 2 -12 + 2m = (16 + 8m) + 2 Reorder the terms: -12 + 2m = 16 + 2 + 8m Combine like terms: 16 + 2 = 18 -12 + 2m = 18 + 8m Solving -12 + 2m = 18 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -12 + 2m + -8m = 18 + 8m + -8m Combine like terms: 2m + -8m = -6m -12 + -6m = 18 + 8m + -8m Combine like terms: 8m + -8m = 0 -12 + -6m = 18 + 0 -12 + -6m = 18 Add '12' to each side of the equation. -12 + 12 + -6m = 18 + 12 Combine like terms: -12 + 12 = 0 0 + -6m = 18 + 12 -6m = 18 + 12 Combine like terms: 18 + 12 = 30 -6m = 30 Divide each side by '-6'. m = -5 Simplifying m = -5
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