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Simplifying -1(-5 + n) = 4(7 + -4n) + 7 (-5 * -1 + n * -1) = 4(7 + -4n) + 7 (5 + -1n) = 4(7 + -4n) + 7 5 + -1n = (7 * 4 + -4n * 4) + 7 5 + -1n = (28 + -16n) + 7 Reorder the terms: 5 + -1n = 28 + 7 + -16n Combine like terms: 28 + 7 = 35 5 + -1n = 35 + -16n Solving 5 + -1n = 35 + -16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '16n' to each side of the equation. 5 + -1n + 16n = 35 + -16n + 16n Combine like terms: -1n + 16n = 15n 5 + 15n = 35 + -16n + 16n Combine like terms: -16n + 16n = 0 5 + 15n = 35 + 0 5 + 15n = 35 Add '-5' to each side of the equation. 5 + -5 + 15n = 35 + -5 Combine like terms: 5 + -5 = 0 0 + 15n = 35 + -5 15n = 35 + -5 Combine like terms: 35 + -5 = 30 15n = 30 Divide each side by '15'. n = 2 Simplifying n = 2
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