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Simplifying 5n + 1 = 7n + -63 Reorder the terms: 1 + 5n = 7n + -63 Reorder the terms: 1 + 5n = -63 + 7n Solving 1 + 5n = -63 + 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. 1 + 5n + -7n = -63 + 7n + -7n Combine like terms: 5n + -7n = -2n 1 + -2n = -63 + 7n + -7n Combine like terms: 7n + -7n = 0 1 + -2n = -63 + 0 1 + -2n = -63 Add '-1' to each side of the equation. 1 + -1 + -2n = -63 + -1 Combine like terms: 1 + -1 = 0 0 + -2n = -63 + -1 -2n = -63 + -1 Combine like terms: -63 + -1 = -64 -2n = -64 Divide each side by '-2'. n = 32 Simplifying n = 32
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