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Simplifying 3(m + -7) = 6(m + 1) + -15 Reorder the terms: 3(-7 + m) = 6(m + 1) + -15 (-7 * 3 + m * 3) = 6(m + 1) + -15 (-21 + 3m) = 6(m + 1) + -15 Reorder the terms: -21 + 3m = 6(1 + m) + -15 -21 + 3m = (1 * 6 + m * 6) + -15 -21 + 3m = (6 + 6m) + -15 Reorder the terms: -21 + 3m = 6 + -15 + 6m Combine like terms: 6 + -15 = -9 -21 + 3m = -9 + 6m Solving -21 + 3m = -9 + 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. -21 + 3m + -6m = -9 + 6m + -6m Combine like terms: 3m + -6m = -3m -21 + -3m = -9 + 6m + -6m Combine like terms: 6m + -6m = 0 -21 + -3m = -9 + 0 -21 + -3m = -9 Add '21' to each side of the equation. -21 + 21 + -3m = -9 + 21 Combine like terms: -21 + 21 = 0 0 + -3m = -9 + 21 -3m = -9 + 21 Combine like terms: -9 + 21 = 12 -3m = 12 Divide each side by '-3'. m = -4 Simplifying m = -4
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