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Simplifying 5(3m + -8) = 4(3m + -4) Reorder the terms: 5(-8 + 3m) = 4(3m + -4) (-8 * 5 + 3m * 5) = 4(3m + -4) (-40 + 15m) = 4(3m + -4) Reorder the terms: -40 + 15m = 4(-4 + 3m) -40 + 15m = (-4 * 4 + 3m * 4) -40 + 15m = (-16 + 12m) Solving -40 + 15m = -16 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. -40 + 15m + -12m = -16 + 12m + -12m Combine like terms: 15m + -12m = 3m -40 + 3m = -16 + 12m + -12m Combine like terms: 12m + -12m = 0 -40 + 3m = -16 + 0 -40 + 3m = -16 Add '40' to each side of the equation. -40 + 40 + 3m = -16 + 40 Combine like terms: -40 + 40 = 0 0 + 3m = -16 + 40 3m = -16 + 40 Combine like terms: -16 + 40 = 24 3m = 24 Divide each side by '3'. m = 8 Simplifying m = 8
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