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Simplifying -1m + 6(m + -3) = -14 + 7m Reorder the terms: -1m + 6(-3 + m) = -14 + 7m -1m + (-3 * 6 + m * 6) = -14 + 7m -1m + (-18 + 6m) = -14 + 7m Reorder the terms: -18 + -1m + 6m = -14 + 7m Combine like terms: -1m + 6m = 5m -18 + 5m = -14 + 7m Solving -18 + 5m = -14 + 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. -18 + 5m + -7m = -14 + 7m + -7m Combine like terms: 5m + -7m = -2m -18 + -2m = -14 + 7m + -7m Combine like terms: 7m + -7m = 0 -18 + -2m = -14 + 0 -18 + -2m = -14 Add '18' to each side of the equation. -18 + 18 + -2m = -14 + 18 Combine like terms: -18 + 18 = 0 0 + -2m = -14 + 18 -2m = -14 + 18 Combine like terms: -14 + 18 = 4 -2m = 4 Divide each side by '-2'. m = -2 Simplifying m = -2
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