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Simplifying 7(5 + -8m) = -7(m + -5) (5 * 7 + -8m * 7) = -7(m + -5) (35 + -56m) = -7(m + -5) Reorder the terms: 35 + -56m = -7(-5 + m) 35 + -56m = (-5 * -7 + m * -7) 35 + -56m = (35 + -7m) Add '-35' to each side of the equation. 35 + -35 + -56m = 35 + -35 + -7m Combine like terms: 35 + -35 = 0 0 + -56m = 35 + -35 + -7m -56m = 35 + -35 + -7m Combine like terms: 35 + -35 = 0 -56m = 0 + -7m -56m = -7m Solving -56m = -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. -56m + 7m = -7m + 7m Combine like terms: -56m + 7m = -49m -49m = -7m + 7m Combine like terms: -7m + 7m = 0 -49m = 0 Divide each side by '-49'. m = 0 Simplifying m = 0
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