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Simplifying 7n + -202 = 6(5 + -3n) + -4n Reorder the terms: -202 + 7n = 6(5 + -3n) + -4n -202 + 7n = (5 * 6 + -3n * 6) + -4n -202 + 7n = (30 + -18n) + -4n Combine like terms: -18n + -4n = -22n -202 + 7n = 30 + -22n Solving -202 + 7n = 30 + -22n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '22n' to each side of the equation. -202 + 7n + 22n = 30 + -22n + 22n Combine like terms: 7n + 22n = 29n -202 + 29n = 30 + -22n + 22n Combine like terms: -22n + 22n = 0 -202 + 29n = 30 + 0 -202 + 29n = 30 Add '202' to each side of the equation. -202 + 202 + 29n = 30 + 202 Combine like terms: -202 + 202 = 0 0 + 29n = 30 + 202 29n = 30 + 202 Combine like terms: 30 + 202 = 232 29n = 232 Divide each side by '29'. n = 8 Simplifying n = 8
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