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Simplifying 3(m + -3) + 7(m + 3) = 16 + -4(7 + -1m) Reorder the terms: 3(-3 + m) + 7(m + 3) = 16 + -4(7 + -1m) (-3 * 3 + m * 3) + 7(m + 3) = 16 + -4(7 + -1m) (-9 + 3m) + 7(m + 3) = 16 + -4(7 + -1m) Reorder the terms: -9 + 3m + 7(3 + m) = 16 + -4(7 + -1m) -9 + 3m + (3 * 7 + m * 7) = 16 + -4(7 + -1m) -9 + 3m + (21 + 7m) = 16 + -4(7 + -1m) Reorder the terms: -9 + 21 + 3m + 7m = 16 + -4(7 + -1m) Combine like terms: -9 + 21 = 12 12 + 3m + 7m = 16 + -4(7 + -1m) Combine like terms: 3m + 7m = 10m 12 + 10m = 16 + -4(7 + -1m) 12 + 10m = 16 + (7 * -4 + -1m * -4) 12 + 10m = 16 + (-28 + 4m) Combine like terms: 16 + -28 = -12 12 + 10m = -12 + 4m Solving 12 + 10m = -12 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 12 + 10m + -4m = -12 + 4m + -4m Combine like terms: 10m + -4m = 6m 12 + 6m = -12 + 4m + -4m Combine like terms: 4m + -4m = 0 12 + 6m = -12 + 0 12 + 6m = -12 Add '-12' to each side of the equation. 12 + -12 + 6m = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 6m = -12 + -12 6m = -12 + -12 Combine like terms: -12 + -12 = -24 6m = -24 Divide each side by '6'. m = -4 Simplifying m = -4
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