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