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Simplifying -2(3m + -8) + 7(m + -3) = 13 + -6 Reorder the terms: -2(-8 + 3m) + 7(m + -3) = 13 + -6 (-8 * -2 + 3m * -2) + 7(m + -3) = 13 + -6 (16 + -6m) + 7(m + -3) = 13 + -6 Reorder the terms: 16 + -6m + 7(-3 + m) = 13 + -6 16 + -6m + (-3 * 7 + m * 7) = 13 + -6 16 + -6m + (-21 + 7m) = 13 + -6 Reorder the terms: 16 + -21 + -6m + 7m = 13 + -6 Combine like terms: 16 + -21 = -5 -5 + -6m + 7m = 13 + -6 Combine like terms: -6m + 7m = 1m -5 + 1m = 13 + -6 Combine like terms: 13 + -6 = 7 -5 + 1m = 7 Solving -5 + 1m = 7 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 1m = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 1m = 7 + 5 1m = 7 + 5 Combine like terms: 7 + 5 = 12 1m = 12 Divide each side by '1'. m = 12 Simplifying m = 12
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