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Simplifying -55 = 5(m + -5) + 5(1 + -8m) Reorder the terms: -55 = 5(-5 + m) + 5(1 + -8m) -55 = (-5 * 5 + m * 5) + 5(1 + -8m) -55 = (-25 + 5m) + 5(1 + -8m) -55 = -25 + 5m + (1 * 5 + -8m * 5) -55 = -25 + 5m + (5 + -40m) Reorder the terms: -55 = -25 + 5 + 5m + -40m Combine like terms: -25 + 5 = -20 -55 = -20 + 5m + -40m Combine like terms: 5m + -40m = -35m -55 = -20 + -35m Solving -55 = -20 + -35m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '35m' to each side of the equation. -55 + 35m = -20 + -35m + 35m Combine like terms: -35m + 35m = 0 -55 + 35m = -20 + 0 -55 + 35m = -20 Add '55' to each side of the equation. -55 + 55 + 35m = -20 + 55 Combine like terms: -55 + 55 = 0 0 + 35m = -20 + 55 35m = -20 + 55 Combine like terms: -20 + 55 = 35 35m = 35 Divide each side by '35'. m = 1 Simplifying m = 1
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