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Simplifying 105 = 7(6n + -3) Reorder the terms: 105 = 7(-3 + 6n) 105 = (-3 * 7 + 6n * 7) 105 = (-21 + 42n) Solving 105 = -21 + 42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42n' to each side of the equation. 105 + -42n = -21 + 42n + -42n Combine like terms: 42n + -42n = 0 105 + -42n = -21 + 0 105 + -42n = -21 Add '-105' to each side of the equation. 105 + -105 + -42n = -21 + -105 Combine like terms: 105 + -105 = 0 0 + -42n = -21 + -105 -42n = -21 + -105 Combine like terms: -21 + -105 = -126 -42n = -126 Divide each side by '-42'. n = 3 Simplifying n = 3
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