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Simplifying 2(1 + -7n) = -28 + n (1 * 2 + -7n * 2) = -28 + n (2 + -14n) = -28 + n Solving 2 + -14n = -28 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 2 + -14n + -1n = -28 + n + -1n Combine like terms: -14n + -1n = -15n 2 + -15n = -28 + n + -1n Combine like terms: n + -1n = 0 2 + -15n = -28 + 0 2 + -15n = -28 Add '-2' to each side of the equation. 2 + -2 + -15n = -28 + -2 Combine like terms: 2 + -2 = 0 0 + -15n = -28 + -2 -15n = -28 + -2 Combine like terms: -28 + -2 = -30 -15n = -30 Divide each side by '-15'. n = 2 Simplifying n = 2
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