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Simplifying 4(-1n + 3) + 5(-5n + -6) = 69 Reorder the terms: 4(3 + -1n) + 5(-5n + -6) = 69 (3 * 4 + -1n * 4) + 5(-5n + -6) = 69 (12 + -4n) + 5(-5n + -6) = 69 Reorder the terms: 12 + -4n + 5(-6 + -5n) = 69 12 + -4n + (-6 * 5 + -5n * 5) = 69 12 + -4n + (-30 + -25n) = 69 Reorder the terms: 12 + -30 + -4n + -25n = 69 Combine like terms: 12 + -30 = -18 -18 + -4n + -25n = 69 Combine like terms: -4n + -25n = -29n -18 + -29n = 69 Solving -18 + -29n = 69 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -29n = 69 + 18 Combine like terms: -18 + 18 = 0 0 + -29n = 69 + 18 -29n = 69 + 18 Combine like terms: 69 + 18 = 87 -29n = 87 Divide each side by '-29'. n = -3 Simplifying n = -3
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