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Simplifying -9m + 10(m + 3) = -7(m + -10) Reorder the terms: -9m + 10(3 + m) = -7(m + -10) -9m + (3 * 10 + m * 10) = -7(m + -10) -9m + (30 + 10m) = -7(m + -10) Reorder the terms: 30 + -9m + 10m = -7(m + -10) Combine like terms: -9m + 10m = 1m 30 + 1m = -7(m + -10) Reorder the terms: 30 + 1m = -7(-10 + m) 30 + 1m = (-10 * -7 + m * -7) 30 + 1m = (70 + -7m) Solving 30 + 1m = 70 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. 30 + 1m + 7m = 70 + -7m + 7m Combine like terms: 1m + 7m = 8m 30 + 8m = 70 + -7m + 7m Combine like terms: -7m + 7m = 0 30 + 8m = 70 + 0 30 + 8m = 70 Add '-30' to each side of the equation. 30 + -30 + 8m = 70 + -30 Combine like terms: 30 + -30 = 0 0 + 8m = 70 + -30 8m = 70 + -30 Combine like terms: 70 + -30 = 40 8m = 40 Divide each side by '8'. m = 5 Simplifying m = 5
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