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