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Simplifying 8(2m + 4) = 8(3m + -5) Reorder the terms: 8(4 + 2m) = 8(3m + -5) (4 * 8 + 2m * 8) = 8(3m + -5) (32 + 16m) = 8(3m + -5) Reorder the terms: 32 + 16m = 8(-5 + 3m) 32 + 16m = (-5 * 8 + 3m * 8) 32 + 16m = (-40 + 24m) Solving 32 + 16m = -40 + 24m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-24m' to each side of the equation. 32 + 16m + -24m = -40 + 24m + -24m Combine like terms: 16m + -24m = -8m 32 + -8m = -40 + 24m + -24m Combine like terms: 24m + -24m = 0 32 + -8m = -40 + 0 32 + -8m = -40 Add '-32' to each side of the equation. 32 + -32 + -8m = -40 + -32 Combine like terms: 32 + -32 = 0 0 + -8m = -40 + -32 -8m = -40 + -32 Combine like terms: -40 + -32 = -72 -8m = -72 Divide each side by '-8'. m = 9 Simplifying m = 9
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