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Simplifying -29 + 6n = -5(-3n + -6) + -5 Reorder the terms: -29 + 6n = -5(-6 + -3n) + -5 -29 + 6n = (-6 * -5 + -3n * -5) + -5 -29 + 6n = (30 + 15n) + -5 Reorder the terms: -29 + 6n = 30 + -5 + 15n Combine like terms: 30 + -5 = 25 -29 + 6n = 25 + 15n Solving -29 + 6n = 25 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. -29 + 6n + -15n = 25 + 15n + -15n Combine like terms: 6n + -15n = -9n -29 + -9n = 25 + 15n + -15n Combine like terms: 15n + -15n = 0 -29 + -9n = 25 + 0 -29 + -9n = 25 Add '29' to each side of the equation. -29 + 29 + -9n = 25 + 29 Combine like terms: -29 + 29 = 0 0 + -9n = 25 + 29 -9n = 25 + 29 Combine like terms: 25 + 29 = 54 -9n = 54 Divide each side by '-9'. n = -6 Simplifying n = -6
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