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Simplifying -3(m + 5) = 1 + -1m Reorder the terms: -3(5 + m) = 1 + -1m (5 * -3 + m * -3) = 1 + -1m (-15 + -3m) = 1 + -1m Solving -15 + -3m = 1 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. -15 + -3m + m = 1 + -1m + m Combine like terms: -3m + m = -2m -15 + -2m = 1 + -1m + m Combine like terms: -1m + m = 0 -15 + -2m = 1 + 0 -15 + -2m = 1 Add '15' to each side of the equation. -15 + 15 + -2m = 1 + 15 Combine like terms: -15 + 15 = 0 0 + -2m = 1 + 15 -2m = 1 + 15 Combine like terms: 1 + 15 = 16 -2m = 16 Divide each side by '-2'. m = -8 Simplifying m = -8
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