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Simplifying -32 + 2m = 8 + 8(-5 + 7m) -32 + 2m = 8 + (-5 * 8 + 7m * 8) -32 + 2m = 8 + (-40 + 56m) Combine like terms: 8 + -40 = -32 -32 + 2m = -32 + 56m Add '32' to each side of the equation. -32 + 32 + 2m = -32 + 32 + 56m Combine like terms: -32 + 32 = 0 0 + 2m = -32 + 32 + 56m 2m = -32 + 32 + 56m Combine like terms: -32 + 32 = 0 2m = 0 + 56m 2m = 56m Solving 2m = 56m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-56m' to each side of the equation. 2m + -56m = 56m + -56m Combine like terms: 2m + -56m = -54m -54m = 56m + -56m Combine like terms: 56m + -56m = 0 -54m = 0 Divide each side by '-54'. m = 0 Simplifying m = 0
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