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Simplifying -7(1 + n) + 6n = 6(1 + 2n) (1 * -7 + n * -7) + 6n = 6(1 + 2n) (-7 + -7n) + 6n = 6(1 + 2n) Combine like terms: -7n + 6n = -1n -7 + -1n = 6(1 + 2n) -7 + -1n = (1 * 6 + 2n * 6) -7 + -1n = (6 + 12n) Solving -7 + -1n = 6 + 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. -7 + -1n + -12n = 6 + 12n + -12n Combine like terms: -1n + -12n = -13n -7 + -13n = 6 + 12n + -12n Combine like terms: 12n + -12n = 0 -7 + -13n = 6 + 0 -7 + -13n = 6 Add '7' to each side of the equation. -7 + 7 + -13n = 6 + 7 Combine like terms: -7 + 7 = 0 0 + -13n = 6 + 7 -13n = 6 + 7 Combine like terms: 6 + 7 = 13 -13n = 13 Divide each side by '-13'. n = -1 Simplifying n = -1
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