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Simplifying 10 + -7m = 6(m + -5) + -3m Reorder the terms: 10 + -7m = 6(-5 + m) + -3m 10 + -7m = (-5 * 6 + m * 6) + -3m 10 + -7m = (-30 + 6m) + -3m Combine like terms: 6m + -3m = 3m 10 + -7m = -30 + 3m Solving 10 + -7m = -30 + 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. 10 + -7m + -3m = -30 + 3m + -3m Combine like terms: -7m + -3m = -10m 10 + -10m = -30 + 3m + -3m Combine like terms: 3m + -3m = 0 10 + -10m = -30 + 0 10 + -10m = -30 Add '-10' to each side of the equation. 10 + -10 + -10m = -30 + -10 Combine like terms: 10 + -10 = 0 0 + -10m = -30 + -10 -10m = -30 + -10 Combine like terms: -30 + -10 = -40 -10m = -40 Divide each side by '-10'. m = 4 Simplifying m = 4
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