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Simplifying 5(m + 4) + -1(4m + -1) = 8m + 3m Reorder the terms: 5(4 + m) + -1(4m + -1) = 8m + 3m (4 * 5 + m * 5) + -1(4m + -1) = 8m + 3m (20 + 5m) + -1(4m + -1) = 8m + 3m Reorder the terms: 20 + 5m + -1(-1 + 4m) = 8m + 3m 20 + 5m + (-1 * -1 + 4m * -1) = 8m + 3m 20 + 5m + (1 + -4m) = 8m + 3m Reorder the terms: 20 + 1 + 5m + -4m = 8m + 3m Combine like terms: 20 + 1 = 21 21 + 5m + -4m = 8m + 3m Combine like terms: 5m + -4m = 1m 21 + 1m = 8m + 3m Combine like terms: 8m + 3m = 11m 21 + 1m = 11m Solving 21 + 1m = 11m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-11m' to each side of the equation. 21 + 1m + -11m = 11m + -11m Combine like terms: 1m + -11m = -10m 21 + -10m = 11m + -11m Combine like terms: 11m + -11m = 0 21 + -10m = 0 Add '-21' to each side of the equation. 21 + -21 + -10m = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -10m = 0 + -21 -10m = 0 + -21 Combine like terms: 0 + -21 = -21 -10m = -21 Divide each side by '-10'. m = 2.1 Simplifying m = 2.1
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