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Simplifying -6m + 2(-7 + m) = 21 + m -6m + (-7 * 2 + m * 2) = 21 + m -6m + (-14 + 2m) = 21 + m Reorder the terms: -14 + -6m + 2m = 21 + m Combine like terms: -6m + 2m = -4m -14 + -4m = 21 + m Solving -14 + -4m = 21 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. -14 + -4m + -1m = 21 + m + -1m Combine like terms: -4m + -1m = -5m -14 + -5m = 21 + m + -1m Combine like terms: m + -1m = 0 -14 + -5m = 21 + 0 -14 + -5m = 21 Add '14' to each side of the equation. -14 + 14 + -5m = 21 + 14 Combine like terms: -14 + 14 = 0 0 + -5m = 21 + 14 -5m = 21 + 14 Combine like terms: 21 + 14 = 35 -5m = 35 Divide each side by '-5'. m = -7 Simplifying m = -7
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