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Simplifying 10 = 10 + -5(m + -7) Reorder the terms: 10 = 10 + -5(-7 + m) 10 = 10 + (-7 * -5 + m * -5) 10 = 10 + (35 + -5m) Combine like terms: 10 + 35 = 45 10 = 45 + -5m Solving 10 = 45 + -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. 10 + 5m = 45 + -5m + 5m Combine like terms: -5m + 5m = 0 10 + 5m = 45 + 0 10 + 5m = 45 Add '-10' to each side of the equation. 10 + -10 + 5m = 45 + -10 Combine like terms: 10 + -10 = 0 0 + 5m = 45 + -10 5m = 45 + -10 Combine like terms: 45 + -10 = 35 5m = 35 Divide each side by '5'. m = 7 Simplifying m = 7
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