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Simplifying 8(m + -5) + -6 = 3m + -6 Reorder the terms: 8(-5 + m) + -6 = 3m + -6 (-5 * 8 + m * 8) + -6 = 3m + -6 (-40 + 8m) + -6 = 3m + -6 Reorder the terms: -40 + -6 + 8m = 3m + -6 Combine like terms: -40 + -6 = -46 -46 + 8m = 3m + -6 Reorder the terms: -46 + 8m = -6 + 3m Solving -46 + 8m = -6 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -46 + 8m + -3m = -6 + 3m + -3m Combine like terms: 8m + -3m = 5m -46 + 5m = -6 + 3m + -3m Combine like terms: 3m + -3m = 0 -46 + 5m = -6 + 0 -46 + 5m = -6 Add '46' to each side of the equation. -46 + 46 + 5m = -6 + 46 Combine like terms: -46 + 46 = 0 0 + 5m = -6 + 46 5m = -6 + 46 Combine like terms: -6 + 46 = 40 5m = 40 Divide each side by '5'. m = 8 Simplifying m = 8
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