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Simplifying 8(m + -5) = 2(3m + 8) Reorder the terms: 8(-5 + m) = 2(3m + 8) (-5 * 8 + m * 8) = 2(3m + 8) (-40 + 8m) = 2(3m + 8) Reorder the terms: -40 + 8m = 2(8 + 3m) -40 + 8m = (8 * 2 + 3m * 2) -40 + 8m = (16 + 6m) Solving -40 + 8m = 16 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -40 + 8m + -6m = 16 + 6m + -6m Combine like terms: 8m + -6m = 2m -40 + 2m = 16 + 6m + -6m Combine like terms: 6m + -6m = 0 -40 + 2m = 16 + 0 -40 + 2m = 16 Add '40' to each side of the equation. -40 + 40 + 2m = 16 + 40 Combine like terms: -40 + 40 = 0 0 + 2m = 16 + 40 2m = 16 + 40 Combine like terms: 16 + 40 = 56 2m = 56 Divide each side by '2'. m = 28 Simplifying m = 28
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