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Simplifying 5(m + -8) = 12(m + -10) Reorder the terms: 5(-8 + m) = 12(m + -10) (-8 * 5 + m * 5) = 12(m + -10) (-40 + 5m) = 12(m + -10) Reorder the terms: -40 + 5m = 12(-10 + m) -40 + 5m = (-10 * 12 + m * 12) -40 + 5m = (-120 + 12m) Solving -40 + 5m = -120 + 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 + 5m + -12m = -120 + 12m + -12m Combine like terms: 5m + -12m = -7m -40 + -7m = -120 + 12m + -12m Combine like terms: 12m + -12m = 0 -40 + -7m = -120 + 0 -40 + -7m = -120 Add '40' to each side of the equation. -40 + 40 + -7m = -120 + 40 Combine like terms: -40 + 40 = 0 0 + -7m = -120 + 40 -7m = -120 + 40 Combine like terms: -120 + 40 = -80 -7m = -80 Divide each side by '-7'. m = 11.42857143 Simplifying m = 11.42857143
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