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Simplifying -6(9 + -7m) = 10(6m + 9) (9 * -6 + -7m * -6) = 10(6m + 9) (-54 + 42m) = 10(6m + 9) Reorder the terms: -54 + 42m = 10(9 + 6m) -54 + 42m = (9 * 10 + 6m * 10) -54 + 42m = (90 + 60m) Solving -54 + 42m = 90 + 60m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-60m' to each side of the equation. -54 + 42m + -60m = 90 + 60m + -60m Combine like terms: 42m + -60m = -18m -54 + -18m = 90 + 60m + -60m Combine like terms: 60m + -60m = 0 -54 + -18m = 90 + 0 -54 + -18m = 90 Add '54' to each side of the equation. -54 + 54 + -18m = 90 + 54 Combine like terms: -54 + 54 = 0 0 + -18m = 90 + 54 -18m = 90 + 54 Combine like terms: 90 + 54 = 144 -18m = 144 Divide each side by '-18'. m = -8 Simplifying m = -8
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