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Simplifying -14 = -7(-4n + 5) + -7 Reorder the terms: -14 = -7(5 + -4n) + -7 -14 = (5 * -7 + -4n * -7) + -7 -14 = (-35 + 28n) + -7 Reorder the terms: -14 = -35 + -7 + 28n Combine like terms: -35 + -7 = -42 -14 = -42 + 28n Solving -14 = -42 + 28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28n' to each side of the equation. -14 + -28n = -42 + 28n + -28n Combine like terms: 28n + -28n = 0 -14 + -28n = -42 + 0 -14 + -28n = -42 Add '14' to each side of the equation. -14 + 14 + -28n = -42 + 14 Combine like terms: -14 + 14 = 0 0 + -28n = -42 + 14 -28n = -42 + 14 Combine like terms: -42 + 14 = -28 -28n = -28 Divide each side by '-28'. n = 1 Simplifying n = 1
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