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Simplifying 294 = 7(2 + 5n) 294 = (2 * 7 + 5n * 7) 294 = (14 + 35n) Solving 294 = 14 + 35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35n' to each side of the equation. 294 + -35n = 14 + 35n + -35n Combine like terms: 35n + -35n = 0 294 + -35n = 14 + 0 294 + -35n = 14 Add '-294' to each side of the equation. 294 + -294 + -35n = 14 + -294 Combine like terms: 294 + -294 = 0 0 + -35n = 14 + -294 -35n = 14 + -294 Combine like terms: 14 + -294 = -280 -35n = -280 Divide each side by '-35'. n = 8 Simplifying n = 8
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