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Simplifying 2(m + -14) + 1 = 5(m + 7) + 4 Reorder the terms: 2(-14 + m) + 1 = 5(m + 7) + 4 (-14 * 2 + m * 2) + 1 = 5(m + 7) + 4 (-28 + 2m) + 1 = 5(m + 7) + 4 Reorder the terms: -28 + 1 + 2m = 5(m + 7) + 4 Combine like terms: -28 + 1 = -27 -27 + 2m = 5(m + 7) + 4 Reorder the terms: -27 + 2m = 5(7 + m) + 4 -27 + 2m = (7 * 5 + m * 5) + 4 -27 + 2m = (35 + 5m) + 4 Reorder the terms: -27 + 2m = 35 + 4 + 5m Combine like terms: 35 + 4 = 39 -27 + 2m = 39 + 5m Solving -27 + 2m = 39 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. -27 + 2m + -5m = 39 + 5m + -5m Combine like terms: 2m + -5m = -3m -27 + -3m = 39 + 5m + -5m Combine like terms: 5m + -5m = 0 -27 + -3m = 39 + 0 -27 + -3m = 39 Add '27' to each side of the equation. -27 + 27 + -3m = 39 + 27 Combine like terms: -27 + 27 = 0 0 + -3m = 39 + 27 -3m = 39 + 27 Combine like terms: 39 + 27 = 66 -3m = 66 Divide each side by '-3'. m = -22 Simplifying m = -22
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