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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 Add '21' to each side of the equation. -21 + 21 + 15m = -21 + 21 + m Combine like terms: -21 + 21 = 0 0 + 15m = -21 + 21 + m 15m = -21 + 21 + m Combine like terms: -21 + 21 = 0 15m = 0 + m 15m = m Solving 15m = 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. 15m + -1m = m + -1m Combine like terms: 15m + -1m = 14m 14m = m + -1m Combine like terms: m + -1m = 0 14m = 0 Divide each side by '14'. m = 0 Simplifying m = 0
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