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Simplifying 10(7m + -6) = 1 + 9m Reorder the terms: 10(-6 + 7m) = 1 + 9m (-6 * 10 + 7m * 10) = 1 + 9m (-60 + 70m) = 1 + 9m Solving -60 + 70m = 1 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. -60 + 70m + -9m = 1 + 9m + -9m Combine like terms: 70m + -9m = 61m -60 + 61m = 1 + 9m + -9m Combine like terms: 9m + -9m = 0 -60 + 61m = 1 + 0 -60 + 61m = 1 Add '60' to each side of the equation. -60 + 60 + 61m = 1 + 60 Combine like terms: -60 + 60 = 0 0 + 61m = 1 + 60 61m = 1 + 60 Combine like terms: 1 + 60 = 61 61m = 61 Divide each side by '61'. m = 1 Simplifying m = 1
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