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Simplifying -6(m + -9) + 2(7m + -2) = 7(m + 6) + 7 Reorder the terms: -6(-9 + m) + 2(7m + -2) = 7(m + 6) + 7 (-9 * -6 + m * -6) + 2(7m + -2) = 7(m + 6) + 7 (54 + -6m) + 2(7m + -2) = 7(m + 6) + 7 Reorder the terms: 54 + -6m + 2(-2 + 7m) = 7(m + 6) + 7 54 + -6m + (-2 * 2 + 7m * 2) = 7(m + 6) + 7 54 + -6m + (-4 + 14m) = 7(m + 6) + 7 Reorder the terms: 54 + -4 + -6m + 14m = 7(m + 6) + 7 Combine like terms: 54 + -4 = 50 50 + -6m + 14m = 7(m + 6) + 7 Combine like terms: -6m + 14m = 8m 50 + 8m = 7(m + 6) + 7 Reorder the terms: 50 + 8m = 7(6 + m) + 7 50 + 8m = (6 * 7 + m * 7) + 7 50 + 8m = (42 + 7m) + 7 Reorder the terms: 50 + 8m = 42 + 7 + 7m Combine like terms: 42 + 7 = 49 50 + 8m = 49 + 7m Solving 50 + 8m = 49 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. 50 + 8m + -7m = 49 + 7m + -7m Combine like terms: 8m + -7m = 1m 50 + 1m = 49 + 7m + -7m Combine like terms: 7m + -7m = 0 50 + 1m = 49 + 0 50 + 1m = 49 Add '-50' to each side of the equation. 50 + -50 + 1m = 49 + -50 Combine like terms: 50 + -50 = 0 0 + 1m = 49 + -50 1m = 49 + -50 Combine like terms: 49 + -50 = -1 1m = -1 Divide each side by '1'. m = -1 Simplifying m = -1
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