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Simplifying -1n + 7 = 7(-2n + 2) + 6 Reorder the terms: 7 + -1n = 7(-2n + 2) + 6 Reorder the terms: 7 + -1n = 7(2 + -2n) + 6 7 + -1n = (2 * 7 + -2n * 7) + 6 7 + -1n = (14 + -14n) + 6 Reorder the terms: 7 + -1n = 14 + 6 + -14n Combine like terms: 14 + 6 = 20 7 + -1n = 20 + -14n Solving 7 + -1n = 20 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. 7 + -1n + 14n = 20 + -14n + 14n Combine like terms: -1n + 14n = 13n 7 + 13n = 20 + -14n + 14n Combine like terms: -14n + 14n = 0 7 + 13n = 20 + 0 7 + 13n = 20 Add '-7' to each side of the equation. 7 + -7 + 13n = 20 + -7 Combine like terms: 7 + -7 = 0 0 + 13n = 20 + -7 13n = 20 + -7 Combine like terms: 20 + -7 = 13 13n = 13 Divide each side by '13'. n = 1 Simplifying n = 1
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