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Simplifying 5m + 19 = 3(m + -5) + 7 Reorder the terms: 19 + 5m = 3(m + -5) + 7 Reorder the terms: 19 + 5m = 3(-5 + m) + 7 19 + 5m = (-5 * 3 + m * 3) + 7 19 + 5m = (-15 + 3m) + 7 Reorder the terms: 19 + 5m = -15 + 7 + 3m Combine like terms: -15 + 7 = -8 19 + 5m = -8 + 3m Solving 19 + 5m = -8 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 19 + 5m + -3m = -8 + 3m + -3m Combine like terms: 5m + -3m = 2m 19 + 2m = -8 + 3m + -3m Combine like terms: 3m + -3m = 0 19 + 2m = -8 + 0 19 + 2m = -8 Add '-19' to each side of the equation. 19 + -19 + 2m = -8 + -19 Combine like terms: 19 + -19 = 0 0 + 2m = -8 + -19 2m = -8 + -19 Combine like terms: -8 + -19 = -27 2m = -27 Divide each side by '2'. m = -13.5 Simplifying m = -13.5
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