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Simplifying 3(m + -7) + 2(7 + -3m) = 4(m + 4) + 9 Reorder the terms: 3(-7 + m) + 2(7 + -3m) = 4(m + 4) + 9 (-7 * 3 + m * 3) + 2(7 + -3m) = 4(m + 4) + 9 (-21 + 3m) + 2(7 + -3m) = 4(m + 4) + 9 -21 + 3m + (7 * 2 + -3m * 2) = 4(m + 4) + 9 -21 + 3m + (14 + -6m) = 4(m + 4) + 9 Reorder the terms: -21 + 14 + 3m + -6m = 4(m + 4) + 9 Combine like terms: -21 + 14 = -7 -7 + 3m + -6m = 4(m + 4) + 9 Combine like terms: 3m + -6m = -3m -7 + -3m = 4(m + 4) + 9 Reorder the terms: -7 + -3m = 4(4 + m) + 9 -7 + -3m = (4 * 4 + m * 4) + 9 -7 + -3m = (16 + 4m) + 9 Reorder the terms: -7 + -3m = 16 + 9 + 4m Combine like terms: 16 + 9 = 25 -7 + -3m = 25 + 4m Solving -7 + -3m = 25 + 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. -7 + -3m + -4m = 25 + 4m + -4m Combine like terms: -3m + -4m = -7m -7 + -7m = 25 + 4m + -4m Combine like terms: 4m + -4m = 0 -7 + -7m = 25 + 0 -7 + -7m = 25 Add '7' to each side of the equation. -7 + 7 + -7m = 25 + 7 Combine like terms: -7 + 7 = 0 0 + -7m = 25 + 7 -7m = 25 + 7 Combine like terms: 25 + 7 = 32 -7m = 32 Divide each side by '-7'. m = -4.571428571 Simplifying m = -4.571428571
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