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Simplifying 10m + 13 + -1(4m + -5) = m + 3(m + 7) Reorder the terms: 10m + 13 + -1(-5 + 4m) = m + 3(m + 7) 10m + 13 + (-5 * -1 + 4m * -1) = m + 3(m + 7) 10m + 13 + (5 + -4m) = m + 3(m + 7) Reorder the terms: 13 + 5 + 10m + -4m = m + 3(m + 7) Combine like terms: 13 + 5 = 18 18 + 10m + -4m = m + 3(m + 7) Combine like terms: 10m + -4m = 6m 18 + 6m = m + 3(m + 7) Reorder the terms: 18 + 6m = m + 3(7 + m) 18 + 6m = m + (7 * 3 + m * 3) 18 + 6m = m + (21 + 3m) Reorder the terms: 18 + 6m = 21 + m + 3m Combine like terms: m + 3m = 4m 18 + 6m = 21 + 4m Solving 18 + 6m = 21 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 18 + 6m + -4m = 21 + 4m + -4m Combine like terms: 6m + -4m = 2m 18 + 2m = 21 + 4m + -4m Combine like terms: 4m + -4m = 0 18 + 2m = 21 + 0 18 + 2m = 21 Add '-18' to each side of the equation. 18 + -18 + 2m = 21 + -18 Combine like terms: 18 + -18 = 0 0 + 2m = 21 + -18 2m = 21 + -18 Combine like terms: 21 + -18 = 3 2m = 3 Divide each side by '2'. m = 1.5 Simplifying m = 1.5
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