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Simplifying -202 = 6n + 7(2n + -6) Reorder the terms: -202 = 6n + 7(-6 + 2n) -202 = 6n + (-6 * 7 + 2n * 7) -202 = 6n + (-42 + 14n) Reorder the terms: -202 = -42 + 6n + 14n Combine like terms: 6n + 14n = 20n -202 = -42 + 20n Solving -202 = -42 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. -202 + -20n = -42 + 20n + -20n Combine like terms: 20n + -20n = 0 -202 + -20n = -42 + 0 -202 + -20n = -42 Add '202' to each side of the equation. -202 + 202 + -20n = -42 + 202 Combine like terms: -202 + 202 = 0 0 + -20n = -42 + 202 -20n = -42 + 202 Combine like terms: -42 + 202 = 160 -20n = 160 Divide each side by '-20'. n = -8 Simplifying n = -8
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