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Simplifying 5m + -2(m + 2) = -1(2m + 19) Reorder the terms: 5m + -2(2 + m) = -1(2m + 19) 5m + (2 * -2 + m * -2) = -1(2m + 19) 5m + (-4 + -2m) = -1(2m + 19) Reorder the terms: -4 + 5m + -2m = -1(2m + 19) Combine like terms: 5m + -2m = 3m -4 + 3m = -1(2m + 19) Reorder the terms: -4 + 3m = -1(19 + 2m) -4 + 3m = (19 * -1 + 2m * -1) -4 + 3m = (-19 + -2m) Solving -4 + 3m = -19 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. -4 + 3m + 2m = -19 + -2m + 2m Combine like terms: 3m + 2m = 5m -4 + 5m = -19 + -2m + 2m Combine like terms: -2m + 2m = 0 -4 + 5m = -19 + 0 -4 + 5m = -19 Add '4' to each side of the equation. -4 + 4 + 5m = -19 + 4 Combine like terms: -4 + 4 = 0 0 + 5m = -19 + 4 5m = -19 + 4 Combine like terms: -19 + 4 = -15 5m = -15 Divide each side by '5'. m = -3 Simplifying m = -3
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