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Simplifying 8 + 2(-4m + 8) = 8(m + -5) Reorder the terms: 8 + 2(8 + -4m) = 8(m + -5) 8 + (8 * 2 + -4m * 2) = 8(m + -5) 8 + (16 + -8m) = 8(m + -5) Combine like terms: 8 + 16 = 24 24 + -8m = 8(m + -5) Reorder the terms: 24 + -8m = 8(-5 + m) 24 + -8m = (-5 * 8 + m * 8) 24 + -8m = (-40 + 8m) Solving 24 + -8m = -40 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 24 + -8m + -8m = -40 + 8m + -8m Combine like terms: -8m + -8m = -16m 24 + -16m = -40 + 8m + -8m Combine like terms: 8m + -8m = 0 24 + -16m = -40 + 0 24 + -16m = -40 Add '-24' to each side of the equation. 24 + -24 + -16m = -40 + -24 Combine like terms: 24 + -24 = 0 0 + -16m = -40 + -24 -16m = -40 + -24 Combine like terms: -40 + -24 = -64 -16m = -64 Divide each side by '-16'. m = 4 Simplifying m = 4
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