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Simplifying 5 + -2(-4n + 7) = -7(-5n + 5) + 7 Reorder the terms: 5 + -2(7 + -4n) = -7(-5n + 5) + 7 5 + (7 * -2 + -4n * -2) = -7(-5n + 5) + 7 5 + (-14 + 8n) = -7(-5n + 5) + 7 Combine like terms: 5 + -14 = -9 -9 + 8n = -7(-5n + 5) + 7 Reorder the terms: -9 + 8n = -7(5 + -5n) + 7 -9 + 8n = (5 * -7 + -5n * -7) + 7 -9 + 8n = (-35 + 35n) + 7 Reorder the terms: -9 + 8n = -35 + 7 + 35n Combine like terms: -35 + 7 = -28 -9 + 8n = -28 + 35n Solving -9 + 8n = -28 + 35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35n' to each side of the equation. -9 + 8n + -35n = -28 + 35n + -35n Combine like terms: 8n + -35n = -27n -9 + -27n = -28 + 35n + -35n Combine like terms: 35n + -35n = 0 -9 + -27n = -28 + 0 -9 + -27n = -28 Add '9' to each side of the equation. -9 + 9 + -27n = -28 + 9 Combine like terms: -9 + 9 = 0 0 + -27n = -28 + 9 -27n = -28 + 9 Combine like terms: -28 + 9 = -19 -27n = -19 Divide each side by '-27'. n = 0.7037037037 Simplifying n = 0.7037037037
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