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Simplifying -10 + 7m = 6m + -3(m + -2) Reorder the terms: -10 + 7m = 6m + -3(-2 + m) -10 + 7m = 6m + (-2 * -3 + m * -3) -10 + 7m = 6m + (6 + -3m) Reorder the terms: -10 + 7m = 6 + 6m + -3m Combine like terms: 6m + -3m = 3m -10 + 7m = 6 + 3m Solving -10 + 7m = 6 + 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 = 6 + 3m + -3m Combine like terms: 7m + -3m = 4m -10 + 4m = 6 + 3m + -3m Combine like terms: 3m + -3m = 0 -10 + 4m = 6 + 0 -10 + 4m = 6 Add '10' to each side of the equation. -10 + 10 + 4m = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 4m = 6 + 10 4m = 6 + 10 Combine like terms: 6 + 10 = 16 4m = 16 Divide each side by '4'. m = 4 Simplifying m = 4
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