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Simplifying 7(m + -3) + -3(3m + 1) = -3(m + -1) + -2 Reorder the terms: 7(-3 + m) + -3(3m + 1) = -3(m + -1) + -2 (-3 * 7 + m * 7) + -3(3m + 1) = -3(m + -1) + -2 (-21 + 7m) + -3(3m + 1) = -3(m + -1) + -2 Reorder the terms: -21 + 7m + -3(1 + 3m) = -3(m + -1) + -2 -21 + 7m + (1 * -3 + 3m * -3) = -3(m + -1) + -2 -21 + 7m + (-3 + -9m) = -3(m + -1) + -2 Reorder the terms: -21 + -3 + 7m + -9m = -3(m + -1) + -2 Combine like terms: -21 + -3 = -24 -24 + 7m + -9m = -3(m + -1) + -2 Combine like terms: 7m + -9m = -2m -24 + -2m = -3(m + -1) + -2 Reorder the terms: -24 + -2m = -3(-1 + m) + -2 -24 + -2m = (-1 * -3 + m * -3) + -2 -24 + -2m = (3 + -3m) + -2 Reorder the terms: -24 + -2m = 3 + -2 + -3m Combine like terms: 3 + -2 = 1 -24 + -2m = 1 + -3m Solving -24 + -2m = 1 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. -24 + -2m + 3m = 1 + -3m + 3m Combine like terms: -2m + 3m = 1m -24 + 1m = 1 + -3m + 3m Combine like terms: -3m + 3m = 0 -24 + 1m = 1 + 0 -24 + 1m = 1 Add '24' to each side of the equation. -24 + 24 + 1m = 1 + 24 Combine like terms: -24 + 24 = 0 0 + 1m = 1 + 24 1m = 1 + 24 Combine like terms: 1 + 24 = 25 1m = 25 Divide each side by '1'. m = 25 Simplifying m = 25
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