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Simplifying 5(3m + -8) = 7(m + -8) Reorder the terms: 5(-8 + 3m) = 7(m + -8) (-8 * 5 + 3m * 5) = 7(m + -8) (-40 + 15m) = 7(m + -8) Reorder the terms: -40 + 15m = 7(-8 + m) -40 + 15m = (-8 * 7 + m * 7) -40 + 15m = (-56 + 7m) Solving -40 + 15m = -56 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. -40 + 15m + -7m = -56 + 7m + -7m Combine like terms: 15m + -7m = 8m -40 + 8m = -56 + 7m + -7m Combine like terms: 7m + -7m = 0 -40 + 8m = -56 + 0 -40 + 8m = -56 Add '40' to each side of the equation. -40 + 40 + 8m = -56 + 40 Combine like terms: -40 + 40 = 0 0 + 8m = -56 + 40 8m = -56 + 40 Combine like terms: -56 + 40 = -16 8m = -16 Divide each side by '8'. m = -2 Simplifying m = -2
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