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Simplifying -5(8 + -4m) + 5 = 30 + 7m (8 * -5 + -4m * -5) + 5 = 30 + 7m (-40 + 20m) + 5 = 30 + 7m Reorder the terms: -40 + 5 + 20m = 30 + 7m Combine like terms: -40 + 5 = -35 -35 + 20m = 30 + 7m Solving -35 + 20m = 30 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. -35 + 20m + -7m = 30 + 7m + -7m Combine like terms: 20m + -7m = 13m -35 + 13m = 30 + 7m + -7m Combine like terms: 7m + -7m = 0 -35 + 13m = 30 + 0 -35 + 13m = 30 Add '35' to each side of the equation. -35 + 35 + 13m = 30 + 35 Combine like terms: -35 + 35 = 0 0 + 13m = 30 + 35 13m = 30 + 35 Combine like terms: 30 + 35 = 65 13m = 65 Divide each side by '13'. m = 5 Simplifying m = 5
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