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Simplifying -8m + 53 + -3(m + -4) = 5m + -1(2m + -1) + -3m + 9 Reorder the terms: -8m + 53 + -3(-4 + m) = 5m + -1(2m + -1) + -3m + 9 -8m + 53 + (-4 * -3 + m * -3) = 5m + -1(2m + -1) + -3m + 9 -8m + 53 + (12 + -3m) = 5m + -1(2m + -1) + -3m + 9 Reorder the terms: 53 + 12 + -8m + -3m = 5m + -1(2m + -1) + -3m + 9 Combine like terms: 53 + 12 = 65 65 + -8m + -3m = 5m + -1(2m + -1) + -3m + 9 Combine like terms: -8m + -3m = -11m 65 + -11m = 5m + -1(2m + -1) + -3m + 9 Reorder the terms: 65 + -11m = 5m + -1(-1 + 2m) + -3m + 9 65 + -11m = 5m + (-1 * -1 + 2m * -1) + -3m + 9 65 + -11m = 5m + (1 + -2m) + -3m + 9 Reorder the terms: 65 + -11m = 1 + 9 + 5m + -2m + -3m Combine like terms: 1 + 9 = 10 65 + -11m = 10 + 5m + -2m + -3m Combine like terms: 5m + -2m = 3m 65 + -11m = 10 + 3m + -3m Combine like terms: 3m + -3m = 0 65 + -11m = 10 + 0 65 + -11m = 10 Solving 65 + -11m = 10 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + -65 + -11m = 10 + -65 Combine like terms: 65 + -65 = 0 0 + -11m = 10 + -65 -11m = 10 + -65 Combine like terms: 10 + -65 = -55 -11m = -55 Divide each side by '-11'. m = 5 Simplifying m = 5
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