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Simplifying 1 + 5(-5n + -2) = -29 + -5n Reorder the terms: 1 + 5(-2 + -5n) = -29 + -5n 1 + (-2 * 5 + -5n * 5) = -29 + -5n 1 + (-10 + -25n) = -29 + -5n Combine like terms: 1 + -10 = -9 -9 + -25n = -29 + -5n Solving -9 + -25n = -29 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -9 + -25n + 5n = -29 + -5n + 5n Combine like terms: -25n + 5n = -20n -9 + -20n = -29 + -5n + 5n Combine like terms: -5n + 5n = 0 -9 + -20n = -29 + 0 -9 + -20n = -29 Add '9' to each side of the equation. -9 + 9 + -20n = -29 + 9 Combine like terms: -9 + 9 = 0 0 + -20n = -29 + 9 -20n = -29 + 9 Combine like terms: -29 + 9 = -20 -20n = -20 Divide each side by '-20'. n = 1 Simplifying n = 1
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