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