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Simplifying -5 + -2(1 + 7n) = -2n + 5 -5 + (1 * -2 + 7n * -2) = -2n + 5 -5 + (-2 + -14n) = -2n + 5 Combine like terms: -5 + -2 = -7 -7 + -14n = -2n + 5 Reorder the terms: -7 + -14n = 5 + -2n Solving -7 + -14n = 5 + -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 + -14n + 2n = 5 + -2n + 2n Combine like terms: -14n + 2n = -12n -7 + -12n = 5 + -2n + 2n Combine like terms: -2n + 2n = 0 -7 + -12n = 5 + 0 -7 + -12n = 5 Add '7' to each side of the equation. -7 + 7 + -12n = 5 + 7 Combine like terms: -7 + 7 = 0 0 + -12n = 5 + 7 -12n = 5 + 7 Combine like terms: 5 + 7 = 12 -12n = 12 Divide each side by '-12'. n = -1 Simplifying n = -1
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