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Simplifying -8m + 38 + -7(m + -4) = 3m + -1(5m + -4) + -2m + 7 Reorder the terms: -8m + 38 + -7(-4 + m) = 3m + -1(5m + -4) + -2m + 7 -8m + 38 + (-4 * -7 + m * -7) = 3m + -1(5m + -4) + -2m + 7 -8m + 38 + (28 + -7m) = 3m + -1(5m + -4) + -2m + 7 Reorder the terms: 38 + 28 + -8m + -7m = 3m + -1(5m + -4) + -2m + 7 Combine like terms: 38 + 28 = 66 66 + -8m + -7m = 3m + -1(5m + -4) + -2m + 7 Combine like terms: -8m + -7m = -15m 66 + -15m = 3m + -1(5m + -4) + -2m + 7 Reorder the terms: 66 + -15m = 3m + -1(-4 + 5m) + -2m + 7 66 + -15m = 3m + (-4 * -1 + 5m * -1) + -2m + 7 66 + -15m = 3m + (4 + -5m) + -2m + 7 Reorder the terms: 66 + -15m = 4 + 7 + 3m + -5m + -2m Combine like terms: 4 + 7 = 11 66 + -15m = 11 + 3m + -5m + -2m Combine like terms: 3m + -5m = -2m 66 + -15m = 11 + -2m + -2m Combine like terms: -2m + -2m = -4m 66 + -15m = 11 + -4m Solving 66 + -15m = 11 + -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. 66 + -15m + 4m = 11 + -4m + 4m Combine like terms: -15m + 4m = -11m 66 + -11m = 11 + -4m + 4m Combine like terms: -4m + 4m = 0 66 + -11m = 11 + 0 66 + -11m = 11 Add '-66' to each side of the equation. 66 + -66 + -11m = 11 + -66 Combine like terms: 66 + -66 = 0 0 + -11m = 11 + -66 -11m = 11 + -66 Combine like terms: 11 + -66 = -55 -11m = -55 Divide each side by '-11'. m = 5 Simplifying m = 5
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