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Simplifying 2(m + -7) + 3(m + -1) = m + 3 Reorder the terms: 2(-7 + m) + 3(m + -1) = m + 3 (-7 * 2 + m * 2) + 3(m + -1) = m + 3 (-14 + 2m) + 3(m + -1) = m + 3 Reorder the terms: -14 + 2m + 3(-1 + m) = m + 3 -14 + 2m + (-1 * 3 + m * 3) = m + 3 -14 + 2m + (-3 + 3m) = m + 3 Reorder the terms: -14 + -3 + 2m + 3m = m + 3 Combine like terms: -14 + -3 = -17 -17 + 2m + 3m = m + 3 Combine like terms: 2m + 3m = 5m -17 + 5m = m + 3 Reorder the terms: -17 + 5m = 3 + m Solving -17 + 5m = 3 + 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. -17 + 5m + -1m = 3 + m + -1m Combine like terms: 5m + -1m = 4m -17 + 4m = 3 + m + -1m Combine like terms: m + -1m = 0 -17 + 4m = 3 + 0 -17 + 4m = 3 Add '17' to each side of the equation. -17 + 17 + 4m = 3 + 17 Combine like terms: -17 + 17 = 0 0 + 4m = 3 + 17 4m = 3 + 17 Combine like terms: 3 + 17 = 20 4m = 20 Divide each side by '4'. m = 5 Simplifying m = 5
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