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Simplifying 3[2m + -1(-7 + -3m)] = m + -21 3[2m + (-7 * -1 + -3m * -1)] = m + -21 3[2m + (7 + 3m)] = m + -21 Reorder the terms: 3[7 + 2m + 3m] = m + -21 Combine like terms: 2m + 3m = 5m 3[7 + 5m] = m + -21 [7 * 3 + 5m * 3] = m + -21 [21 + 15m] = m + -21 Reorder the terms: 21 + 15m = -21 + m Solving 21 + 15m = -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. 21 + 15m + -1m = -21 + m + -1m Combine like terms: 15m + -1m = 14m 21 + 14m = -21 + m + -1m Combine like terms: m + -1m = 0 21 + 14m = -21 + 0 21 + 14m = -21 Add '-21' to each side of the equation. 21 + -21 + 14m = -21 + -21 Combine like terms: 21 + -21 = 0 0 + 14m = -21 + -21 14m = -21 + -21 Combine like terms: -21 + -21 = -42 14m = -42 Divide each side by '14'. m = -3 Simplifying m = -3
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