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Simplifying -55 = -5(2m + 1) Reorder the terms: -55 = -5(1 + 2m) -55 = (1 * -5 + 2m * -5) -55 = (-5 + -10m) Solving -55 = -5 + -10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '10m' to each side of the equation. -55 + 10m = -5 + -10m + 10m Combine like terms: -10m + 10m = 0 -55 + 10m = -5 + 0 -55 + 10m = -5 Add '55' to each side of the equation. -55 + 55 + 10m = -5 + 55 Combine like terms: -55 + 55 = 0 0 + 10m = -5 + 55 10m = -5 + 55 Combine like terms: -5 + 55 = 50 10m = 50 Divide each side by '10'. m = 5 Simplifying m = 5
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