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Simplifying 207 = -7(1 + -5n) + 4 207 = (1 * -7 + -5n * -7) + 4 207 = (-7 + 35n) + 4 Reorder the terms: 207 = -7 + 4 + 35n Combine like terms: -7 + 4 = -3 207 = -3 + 35n Solving 207 = -3 + 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. 207 + -35n = -3 + 35n + -35n Combine like terms: 35n + -35n = 0 207 + -35n = -3 + 0 207 + -35n = -3 Add '-207' to each side of the equation. 207 + -207 + -35n = -3 + -207 Combine like terms: 207 + -207 = 0 0 + -35n = -3 + -207 -35n = -3 + -207 Combine like terms: -3 + -207 = -210 -35n = -210 Divide each side by '-35'. n = 6 Simplifying n = 6
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