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Simplifying -7(7n + -5) = n + -15 Reorder the terms: -7(-5 + 7n) = n + -15 (-5 * -7 + 7n * -7) = n + -15 (35 + -49n) = n + -15 Reorder the terms: 35 + -49n = -15 + n Solving 35 + -49n = -15 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 35 + -49n + -1n = -15 + n + -1n Combine like terms: -49n + -1n = -50n 35 + -50n = -15 + n + -1n Combine like terms: n + -1n = 0 35 + -50n = -15 + 0 35 + -50n = -15 Add '-35' to each side of the equation. 35 + -35 + -50n = -15 + -35 Combine like terms: 35 + -35 = 0 0 + -50n = -15 + -35 -50n = -15 + -35 Combine like terms: -15 + -35 = -50 -50n = -50 Divide each side by '-50'. n = 1 Simplifying n = 1
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