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Simplifying 2m + 7(m + -1) = -21 + -5m Reorder the terms: 2m + 7(-1 + m) = -21 + -5m 2m + (-1 * 7 + m * 7) = -21 + -5m 2m + (-7 + 7m) = -21 + -5m Reorder the terms: -7 + 2m + 7m = -21 + -5m Combine like terms: 2m + 7m = 9m -7 + 9m = -21 + -5m Solving -7 + 9m = -21 + -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. -7 + 9m + 5m = -21 + -5m + 5m Combine like terms: 9m + 5m = 14m -7 + 14m = -21 + -5m + 5m Combine like terms: -5m + 5m = 0 -7 + 14m = -21 + 0 -7 + 14m = -21 Add '7' to each side of the equation. -7 + 7 + 14m = -21 + 7 Combine like terms: -7 + 7 = 0 0 + 14m = -21 + 7 14m = -21 + 7 Combine like terms: -21 + 7 = -14 14m = -14 Divide each side by '14'. m = -1 Simplifying m = -1
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