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Simplifying -19 + 7m = 5(1 + 3m) -19 + 7m = (1 * 5 + 3m * 5) -19 + 7m = (5 + 15m) Solving -19 + 7m = 5 + 15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15m' to each side of the equation. -19 + 7m + -15m = 5 + 15m + -15m Combine like terms: 7m + -15m = -8m -19 + -8m = 5 + 15m + -15m Combine like terms: 15m + -15m = 0 -19 + -8m = 5 + 0 -19 + -8m = 5 Add '19' to each side of the equation. -19 + 19 + -8m = 5 + 19 Combine like terms: -19 + 19 = 0 0 + -8m = 5 + 19 -8m = 5 + 19 Combine like terms: 5 + 19 = 24 -8m = 24 Divide each side by '-8'. m = -3 Simplifying m = -3
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