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Simplifying 7(m + -1) + -3(5m + 2) = -9(m + 3) + -10 Reorder the terms: 7(-1 + m) + -3(5m + 2) = -9(m + 3) + -10 (-1 * 7 + m * 7) + -3(5m + 2) = -9(m + 3) + -10 (-7 + 7m) + -3(5m + 2) = -9(m + 3) + -10 Reorder the terms: -7 + 7m + -3(2 + 5m) = -9(m + 3) + -10 -7 + 7m + (2 * -3 + 5m * -3) = -9(m + 3) + -10 -7 + 7m + (-6 + -15m) = -9(m + 3) + -10 Reorder the terms: -7 + -6 + 7m + -15m = -9(m + 3) + -10 Combine like terms: -7 + -6 = -13 -13 + 7m + -15m = -9(m + 3) + -10 Combine like terms: 7m + -15m = -8m -13 + -8m = -9(m + 3) + -10 Reorder the terms: -13 + -8m = -9(3 + m) + -10 -13 + -8m = (3 * -9 + m * -9) + -10 -13 + -8m = (-27 + -9m) + -10 Reorder the terms: -13 + -8m = -27 + -10 + -9m Combine like terms: -27 + -10 = -37 -13 + -8m = -37 + -9m Solving -13 + -8m = -37 + -9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '9m' to each side of the equation. -13 + -8m + 9m = -37 + -9m + 9m Combine like terms: -8m + 9m = 1m -13 + 1m = -37 + -9m + 9m Combine like terms: -9m + 9m = 0 -13 + 1m = -37 + 0 -13 + 1m = -37 Add '13' to each side of the equation. -13 + 13 + 1m = -37 + 13 Combine like terms: -13 + 13 = 0 0 + 1m = -37 + 13 1m = -37 + 13 Combine like terms: -37 + 13 = -24 1m = -24 Divide each side by '1'. m = -24 Simplifying m = -24
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