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Simplifying 3(m + -7) + -1(-6m + 6) = -2m + 8m Reorder the terms: 3(-7 + m) + -1(-6m + 6) = -2m + 8m (-7 * 3 + m * 3) + -1(-6m + 6) = -2m + 8m (-21 + 3m) + -1(-6m + 6) = -2m + 8m Reorder the terms: -21 + 3m + -1(6 + -6m) = -2m + 8m -21 + 3m + (6 * -1 + -6m * -1) = -2m + 8m -21 + 3m + (-6 + 6m) = -2m + 8m Reorder the terms: -21 + -6 + 3m + 6m = -2m + 8m Combine like terms: -21 + -6 = -27 -27 + 3m + 6m = -2m + 8m Combine like terms: 3m + 6m = 9m -27 + 9m = -2m + 8m Combine like terms: -2m + 8m = 6m -27 + 9m = 6m Solving -27 + 9m = 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -27 + 9m + -6m = 6m + -6m Combine like terms: 9m + -6m = 3m -27 + 3m = 6m + -6m Combine like terms: 6m + -6m = 0 -27 + 3m = 0 Add '27' to each side of the equation. -27 + 27 + 3m = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 3m = 0 + 27 3m = 0 + 27 Combine like terms: 0 + 27 = 27 3m = 27 Divide each side by '3'. m = 9 Simplifying m = 9
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