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Simplifying -12 = 5(2n + -1) + -1(7 + -2m) Reorder the terms: -12 = 5(-1 + 2n) + -1(7 + -2m) -12 = (-1 * 5 + 2n * 5) + -1(7 + -2m) -12 = (-5 + 10n) + -1(7 + -2m) -12 = -5 + 10n + (7 * -1 + -2m * -1) -12 = -5 + 10n + (-7 + 2m) Reorder the terms: -12 = -5 + -7 + 2m + 10n Combine like terms: -5 + -7 = -12 -12 = -12 + 2m + 10n Add '12' to each side of the equation. -12 + 12 = -12 + 2m + 12 + 10n Combine like terms: -12 + 12 = 0 0 = -12 + 2m + 12 + 10n Reorder the terms: 0 = -12 + 12 + 2m + 10n Combine like terms: -12 + 12 = 0 0 = 0 + 2m + 10n 0 = 2m + 10n Solving 0 = 2m + 10n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 0 + -2m = 2m + -2m + 10n Remove the zero: -2m = 2m + -2m + 10n Combine like terms: 2m + -2m = 0 -2m = 0 + 10n -2m = 10n Divide each side by '-2'. m = -5n Simplifying m = -5n
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