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Simplifying (7 + 2n) * 6 = -28n + 2 Reorder the terms for easier multiplication: 6(7 + 2n) = -28n + 2 (7 * 6 + 2n * 6) = -28n + 2 (42 + 12n) = -28n + 2 Reorder the terms: 42 + 12n = 2 + -28n Solving 42 + 12n = 2 + -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. 42 + 12n + 28n = 2 + -28n + 28n Combine like terms: 12n + 28n = 40n 42 + 40n = 2 + -28n + 28n Combine like terms: -28n + 28n = 0 42 + 40n = 2 + 0 42 + 40n = 2 Add '-42' to each side of the equation. 42 + -42 + 40n = 2 + -42 Combine like terms: 42 + -42 = 0 0 + 40n = 2 + -42 40n = 2 + -42 Combine like terms: 2 + -42 = -40 40n = -40 Divide each side by '40'. n = -1 Simplifying n = -1
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