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Simplifying -10 + 3m = 7(5 + -6m) -10 + 3m = (5 * 7 + -6m * 7) -10 + 3m = (35 + -42m) Solving -10 + 3m = 35 + -42m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '42m' to each side of the equation. -10 + 3m + 42m = 35 + -42m + 42m Combine like terms: 3m + 42m = 45m -10 + 45m = 35 + -42m + 42m Combine like terms: -42m + 42m = 0 -10 + 45m = 35 + 0 -10 + 45m = 35 Add '10' to each side of the equation. -10 + 10 + 45m = 35 + 10 Combine like terms: -10 + 10 = 0 0 + 45m = 35 + 10 45m = 35 + 10 Combine like terms: 35 + 10 = 45 45m = 45 Divide each side by '45'. m = 1 Simplifying m = 1
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