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Simplifying 5(3m + 5) = -1(m + 23) Reorder the terms: 5(5 + 3m) = -1(m + 23) (5 * 5 + 3m * 5) = -1(m + 23) (25 + 15m) = -1(m + 23) Reorder the terms: 25 + 15m = -1(23 + m) 25 + 15m = (23 * -1 + m * -1) 25 + 15m = (-23 + -1m) Solving 25 + 15m = -23 + -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. 25 + 15m + m = -23 + -1m + m Combine like terms: 15m + m = 16m 25 + 16m = -23 + -1m + m Combine like terms: -1m + m = 0 25 + 16m = -23 + 0 25 + 16m = -23 Add '-25' to each side of the equation. 25 + -25 + 16m = -23 + -25 Combine like terms: 25 + -25 = 0 0 + 16m = -23 + -25 16m = -23 + -25 Combine like terms: -23 + -25 = -48 16m = -48 Divide each side by '16'. m = -3 Simplifying m = -3
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