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Simplifying 10(m + 2) = -7(m + 8) Reorder the terms: 10(2 + m) = -7(m + 8) (2 * 10 + m * 10) = -7(m + 8) (20 + 10m) = -7(m + 8) Reorder the terms: 20 + 10m = -7(8 + m) 20 + 10m = (8 * -7 + m * -7) 20 + 10m = (-56 + -7m) Solving 20 + 10m = -56 + -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. 20 + 10m + 7m = -56 + -7m + 7m Combine like terms: 10m + 7m = 17m 20 + 17m = -56 + -7m + 7m Combine like terms: -7m + 7m = 0 20 + 17m = -56 + 0 20 + 17m = -56 Add '-20' to each side of the equation. 20 + -20 + 17m = -56 + -20 Combine like terms: 20 + -20 = 0 0 + 17m = -56 + -20 17m = -56 + -20 Combine like terms: -56 + -20 = -76 17m = -76 Divide each side by '17'. m = -4.470588235 Simplifying m = -4.470588235
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