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Simplifying -10 + 7m = 6m + -3(n + -2) Reorder the terms: -10 + 7m = 6m + -3(-2 + n) -10 + 7m = 6m + (-2 * -3 + n * -3) -10 + 7m = 6m + (6 + -3n) Reorder the terms: -10 + 7m = 6 + 6m + -3n Solving -10 + 7m = 6 + 6m + -3n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -10 + 7m + -6m = 6 + 6m + -6m + -3n Combine like terms: 7m + -6m = 1m -10 + 1m = 6 + 6m + -6m + -3n Combine like terms: 6m + -6m = 0 -10 + 1m = 6 + 0 + -3n -10 + 1m = 6 + -3n Add '10' to each side of the equation. -10 + 10 + 1m = 6 + 10 + -3n Combine like terms: -10 + 10 = 0 0 + 1m = 6 + 10 + -3n 1m = 6 + 10 + -3n Combine like terms: 6 + 10 = 16 1m = 16 + -3n Divide each side by '1'. m = 16 + -3n Simplifying m = 16 + -3n
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