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Simplifying 8(m + -5) = 2(2m + -8) Reorder the terms: 8(-5 + m) = 2(2m + -8) (-5 * 8 + m * 8) = 2(2m + -8) (-40 + 8m) = 2(2m + -8) Reorder the terms: -40 + 8m = 2(-8 + 2m) -40 + 8m = (-8 * 2 + 2m * 2) -40 + 8m = (-16 + 4m) Solving -40 + 8m = -16 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -40 + 8m + -4m = -16 + 4m + -4m Combine like terms: 8m + -4m = 4m -40 + 4m = -16 + 4m + -4m Combine like terms: 4m + -4m = 0 -40 + 4m = -16 + 0 -40 + 4m = -16 Add '40' to each side of the equation. -40 + 40 + 4m = -16 + 40 Combine like terms: -40 + 40 = 0 0 + 4m = -16 + 40 4m = -16 + 40 Combine like terms: -16 + 40 = 24 4m = 24 Divide each side by '4'. m = 6 Simplifying m = 6
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