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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 = -7 -7 + -3m = -7 + -4m Add '7' to each side of the equation. -7 + 7 + -3m = -7 + 7 + -4m Combine like terms: -7 + 7 = 0 0 + -3m = -7 + 7 + -4m -3m = -7 + 7 + -4m Combine like terms: -7 + 7 = 0 -3m = 0 + -4m -3m = -4m Solving -3m = -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. -3m + 4m = -4m + 4m Combine like terms: -3m + 4m = 1m 1m = -4m + 4m Combine like terms: -4m + 4m = 0 1m = 0 Divide each side by '1'. m = 0 Simplifying m = 0
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