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Simplifying 63 = 35 + (n + -1)(7) Reorder the terms: 63 = 35 + (-1 + n)(7) Reorder the terms for easier multiplication: 63 = 35 + 7(-1 + n) 63 = 35 + (-1 * 7 + n * 7) 63 = 35 + (-7 + 7n) Combine like terms: 35 + -7 = 28 63 = 28 + 7n Solving 63 = 28 + 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. 63 + -7n = 28 + 7n + -7n Combine like terms: 7n + -7n = 0 63 + -7n = 28 + 0 63 + -7n = 28 Add '-63' to each side of the equation. 63 + -63 + -7n = 28 + -63 Combine like terms: 63 + -63 = 0 0 + -7n = 28 + -63 -7n = 28 + -63 Combine like terms: 28 + -63 = -35 -7n = -35 Divide each side by '-7'. n = 5 Simplifying n = 5
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