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Simplifying -3(m + -2) = -4(10 + -5m) Reorder the terms: -3(-2 + m) = -4(10 + -5m) (-2 * -3 + m * -3) = -4(10 + -5m) (6 + -3m) = -4(10 + -5m) 6 + -3m = (10 * -4 + -5m * -4) 6 + -3m = (-40 + 20m) Solving 6 + -3m = -40 + 20m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-20m' to each side of the equation. 6 + -3m + -20m = -40 + 20m + -20m Combine like terms: -3m + -20m = -23m 6 + -23m = -40 + 20m + -20m Combine like terms: 20m + -20m = 0 6 + -23m = -40 + 0 6 + -23m = -40 Add '-6' to each side of the equation. 6 + -6 + -23m = -40 + -6 Combine like terms: 6 + -6 = 0 0 + -23m = -40 + -6 -23m = -40 + -6 Combine like terms: -40 + -6 = -46 -23m = -46 Divide each side by '-23'. m = 2 Simplifying m = 2
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