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Simplifying 175 = 7(n + 12) Reorder the terms: 175 = 7(12 + n) 175 = (12 * 7 + n * 7) 175 = (84 + 7n) Solving 175 = 84 + 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. 175 + -7n = 84 + 7n + -7n Combine like terms: 7n + -7n = 0 175 + -7n = 84 + 0 175 + -7n = 84 Add '-175' to each side of the equation. 175 + -175 + -7n = 84 + -175 Combine like terms: 175 + -175 = 0 0 + -7n = 84 + -175 -7n = 84 + -175 Combine like terms: 84 + -175 = -91 -7n = -91 Divide each side by '-7'. n = 13 Simplifying n = 13
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