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Simplifying 7 + -1n = 7(1 + 5n) 7 + -1n = (1 * 7 + 5n * 7) 7 + -1n = (7 + 35n) Add '-7' to each side of the equation. 7 + -7 + -1n = 7 + -7 + 35n Combine like terms: 7 + -7 = 0 0 + -1n = 7 + -7 + 35n -1n = 7 + -7 + 35n Combine like terms: 7 + -7 = 0 -1n = 0 + 35n -1n = 35n Solving -1n = 35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35n' to each side of the equation. -1n + -35n = 35n + -35n Combine like terms: -1n + -35n = -36n -36n = 35n + -35n Combine like terms: 35n + -35n = 0 -36n = 0 Divide each side by '-36'. n = 0 Simplifying n = 0
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