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Simplifying -294 = 5(7n + -3) + 1 Reorder the terms: -294 = 5(-3 + 7n) + 1 -294 = (-3 * 5 + 7n * 5) + 1 -294 = (-15 + 35n) + 1 Reorder the terms: -294 = -15 + 1 + 35n Combine like terms: -15 + 1 = -14 -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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