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Simplifying 8(m + -5) = 3(3m + -8) Reorder the terms: 8(-5 + m) = 3(3m + -8) (-5 * 8 + m * 8) = 3(3m + -8) (-40 + 8m) = 3(3m + -8) Reorder the terms: -40 + 8m = 3(-8 + 3m) -40 + 8m = (-8 * 3 + 3m * 3) -40 + 8m = (-24 + 9m) Solving -40 + 8m = -24 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. -40 + 8m + -9m = -24 + 9m + -9m Combine like terms: 8m + -9m = -1m -40 + -1m = -24 + 9m + -9m Combine like terms: 9m + -9m = 0 -40 + -1m = -24 + 0 -40 + -1m = -24 Add '40' to each side of the equation. -40 + 40 + -1m = -24 + 40 Combine like terms: -40 + 40 = 0 0 + -1m = -24 + 40 -1m = -24 + 40 Combine like terms: -24 + 40 = 16 -1m = 16 Divide each side by '-1'. m = -16 Simplifying m = -16
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