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Simplifying 5m + -2(m + 1) = m + -19 Reorder the terms: 5m + -2(1 + m) = m + -19 5m + (1 * -2 + m * -2) = m + -19 5m + (-2 + -2m) = m + -19 Reorder the terms: -2 + 5m + -2m = m + -19 Combine like terms: 5m + -2m = 3m -2 + 3m = m + -19 Reorder the terms: -2 + 3m = -19 + m Solving -2 + 3m = -19 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. -2 + 3m + -1m = -19 + m + -1m Combine like terms: 3m + -1m = 2m -2 + 2m = -19 + m + -1m Combine like terms: m + -1m = 0 -2 + 2m = -19 + 0 -2 + 2m = -19 Add '2' to each side of the equation. -2 + 2 + 2m = -19 + 2 Combine like terms: -2 + 2 = 0 0 + 2m = -19 + 2 2m = -19 + 2 Combine like terms: -19 + 2 = -17 2m = -17 Divide each side by '2'. m = -8.5 Simplifying m = -8.5
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