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Simplifying 7(m + 9) + 4(2m + 6) = 14(m + 4) + 10 Reorder the terms: 7(9 + m) + 4(2m + 6) = 14(m + 4) + 10 (9 * 7 + m * 7) + 4(2m + 6) = 14(m + 4) + 10 (63 + 7m) + 4(2m + 6) = 14(m + 4) + 10 Reorder the terms: 63 + 7m + 4(6 + 2m) = 14(m + 4) + 10 63 + 7m + (6 * 4 + 2m * 4) = 14(m + 4) + 10 63 + 7m + (24 + 8m) = 14(m + 4) + 10 Reorder the terms: 63 + 24 + 7m + 8m = 14(m + 4) + 10 Combine like terms: 63 + 24 = 87 87 + 7m + 8m = 14(m + 4) + 10 Combine like terms: 7m + 8m = 15m 87 + 15m = 14(m + 4) + 10 Reorder the terms: 87 + 15m = 14(4 + m) + 10 87 + 15m = (4 * 14 + m * 14) + 10 87 + 15m = (56 + 14m) + 10 Reorder the terms: 87 + 15m = 56 + 10 + 14m Combine like terms: 56 + 10 = 66 87 + 15m = 66 + 14m Solving 87 + 15m = 66 + 14m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-14m' to each side of the equation. 87 + 15m + -14m = 66 + 14m + -14m Combine like terms: 15m + -14m = 1m 87 + 1m = 66 + 14m + -14m Combine like terms: 14m + -14m = 0 87 + 1m = 66 + 0 87 + 1m = 66 Add '-87' to each side of the equation. 87 + -87 + 1m = 66 + -87 Combine like terms: 87 + -87 = 0 0 + 1m = 66 + -87 1m = 66 + -87 Combine like terms: 66 + -87 = -21 1m = -21 Divide each side by '1'. m = -21 Simplifying m = -21
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