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Simplifying 5n + -1n = n + -1[4 + 7(2n + 1)] Combine like terms: 5n + -1n = 4n 4n = n + -1[4 + 7(2n + 1)] Reorder the terms: 4n = n + -1[4 + 7(1 + 2n)] 4n = n + -1[4 + (1 * 7 + 2n * 7)] 4n = n + -1[4 + (7 + 14n)] Combine like terms: 4 + 7 = 11 4n = n + -1[11 + 14n] 4n = n + [11 * -1 + 14n * -1] 4n = n + [-11 + -14n] Reorder the terms: 4n = -11 + n + -14n Combine like terms: n + -14n = -13n 4n = -11 + -13n Solving 4n = -11 + -13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '13n' to each side of the equation. 4n + 13n = -11 + -13n + 13n Combine like terms: 4n + 13n = 17n 17n = -11 + -13n + 13n Combine like terms: -13n + 13n = 0 17n = -11 + 0 17n = -11 Divide each side by '17'. n = -0.6470588235 Simplifying n = -0.6470588235
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