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Simplifying 69(-3m + 1) = 5(-2m + -2) Reorder the terms: 69(1 + -3m) = 5(-2m + -2) (1 * 69 + -3m * 69) = 5(-2m + -2) (69 + -207m) = 5(-2m + -2) Reorder the terms: 69 + -207m = 5(-2 + -2m) 69 + -207m = (-2 * 5 + -2m * 5) 69 + -207m = (-10 + -10m) Solving 69 + -207m = -10 + -10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '10m' to each side of the equation. 69 + -207m + 10m = -10 + -10m + 10m Combine like terms: -207m + 10m = -197m 69 + -197m = -10 + -10m + 10m Combine like terms: -10m + 10m = 0 69 + -197m = -10 + 0 69 + -197m = -10 Add '-69' to each side of the equation. 69 + -69 + -197m = -10 + -69 Combine like terms: 69 + -69 = 0 0 + -197m = -10 + -69 -197m = -10 + -69 Combine like terms: -10 + -69 = -79 -197m = -79 Divide each side by '-197'. m = 0.4010152284 Simplifying m = 0.4010152284
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