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Simplifying 26 + -4n = 1 + 7(-1 + 4n) 26 + -4n = 1 + (-1 * 7 + 4n * 7) 26 + -4n = 1 + (-7 + 28n) Combine like terms: 1 + -7 = -6 26 + -4n = -6 + 28n Solving 26 + -4n = -6 + 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. 26 + -4n + -28n = -6 + 28n + -28n Combine like terms: -4n + -28n = -32n 26 + -32n = -6 + 28n + -28n Combine like terms: 28n + -28n = 0 26 + -32n = -6 + 0 26 + -32n = -6 Add '-26' to each side of the equation. 26 + -26 + -32n = -6 + -26 Combine like terms: 26 + -26 = 0 0 + -32n = -6 + -26 -32n = -6 + -26 Combine like terms: -6 + -26 = -32 -32n = -32 Divide each side by '-32'. n = 1 Simplifying n = 1
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