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Simplifying -7 + -1(n + -1) = -6(1 + -2n) Reorder the terms: -7 + -1(-1 + n) = -6(1 + -2n) -7 + (-1 * -1 + n * -1) = -6(1 + -2n) -7 + (1 + -1n) = -6(1 + -2n) Combine like terms: -7 + 1 = -6 -6 + -1n = -6(1 + -2n) -6 + -1n = (1 * -6 + -2n * -6) -6 + -1n = (-6 + 12n) Add '6' to each side of the equation. -6 + 6 + -1n = -6 + 6 + 12n Combine like terms: -6 + 6 = 0 0 + -1n = -6 + 6 + 12n -1n = -6 + 6 + 12n Combine like terms: -6 + 6 = 0 -1n = 0 + 12n -1n = 12n Solving -1n = 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -1n + -12n = 12n + -12n Combine like terms: -1n + -12n = -13n -13n = 12n + -12n Combine like terms: 12n + -12n = 0 -13n = 0 Divide each side by '-13'. n = 0 Simplifying n = 0
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