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Simplifying 8(4m + -5) + -6m = 5(5m + -6) Reorder the terms: 8(-5 + 4m) + -6m = 5(5m + -6) (-5 * 8 + 4m * 8) + -6m = 5(5m + -6) (-40 + 32m) + -6m = 5(5m + -6) Combine like terms: 32m + -6m = 26m -40 + 26m = 5(5m + -6) Reorder the terms: -40 + 26m = 5(-6 + 5m) -40 + 26m = (-6 * 5 + 5m * 5) -40 + 26m = (-30 + 25m) Solving -40 + 26m = -30 + 25m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-25m' to each side of the equation. -40 + 26m + -25m = -30 + 25m + -25m Combine like terms: 26m + -25m = 1m -40 + 1m = -30 + 25m + -25m Combine like terms: 25m + -25m = 0 -40 + 1m = -30 + 0 -40 + 1m = -30 Add '40' to each side of the equation. -40 + 40 + 1m = -30 + 40 Combine like terms: -40 + 40 = 0 0 + 1m = -30 + 40 1m = -30 + 40 Combine like terms: -30 + 40 = 10 1m = 10 Divide each side by '1'. m = 10 Simplifying m = 10
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