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Simplifying 5(7m + 3 + -2m + -2) + -4m + n + -4 = 0 Reorder the terms: 5(3 + -2 + 7m + -2m) + -4m + n + -4 = 0 Combine like terms: 3 + -2 = 1 5(1 + 7m + -2m) + -4m + n + -4 = 0 Combine like terms: 7m + -2m = 5m 5(1 + 5m) + -4m + n + -4 = 0 (1 * 5 + 5m * 5) + -4m + n + -4 = 0 (5 + 25m) + -4m + n + -4 = 0 Reorder the terms: 5 + -4 + 25m + -4m + n = 0 Combine like terms: 5 + -4 = 1 1 + 25m + -4m + n = 0 Combine like terms: 25m + -4m = 21m 1 + 21m + n = 0 Solving 1 + 21m + n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 21m + -1 + n = 0 + -1 Reorder the terms: 1 + -1 + 21m + n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 21m + n = 0 + -1 21m + n = 0 + -1 Combine like terms: 0 + -1 = -1 21m + n = -1 Add '-1n' to each side of the equation. 21m + n + -1n = -1 + -1n Combine like terms: n + -1n = 0 21m + 0 = -1 + -1n 21m = -1 + -1n Divide each side by '21'. m = -0.04761904762 + -0.04761904762n Simplifying m = -0.04761904762 + -0.04761904762n
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