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Simplifying 179 = 7(1 + -5n) + -3 179 = (1 * 7 + -5n * 7) + -3 179 = (7 + -35n) + -3 Reorder the terms: 179 = 7 + -3 + -35n Combine like terms: 7 + -3 = 4 179 = 4 + -35n Solving 179 = 4 + -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. 179 + 35n = 4 + -35n + 35n Combine like terms: -35n + 35n = 0 179 + 35n = 4 + 0 179 + 35n = 4 Add '-179' to each side of the equation. 179 + -179 + 35n = 4 + -179 Combine like terms: 179 + -179 = 0 0 + 35n = 4 + -179 35n = 4 + -179 Combine like terms: 4 + -179 = -175 35n = -175 Divide each side by '35'. n = -5 Simplifying n = -5
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