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Simplifying -3n + 6(-2n + 5) = 30 + -2n Reorder the terms: -3n + 6(5 + -2n) = 30 + -2n -3n + (5 * 6 + -2n * 6) = 30 + -2n -3n + (30 + -12n) = 30 + -2n Reorder the terms: 30 + -3n + -12n = 30 + -2n Combine like terms: -3n + -12n = -15n 30 + -15n = 30 + -2n Add '-30' to each side of the equation. 30 + -30 + -15n = 30 + -30 + -2n Combine like terms: 30 + -30 = 0 0 + -15n = 30 + -30 + -2n -15n = 30 + -30 + -2n Combine like terms: 30 + -30 = 0 -15n = 0 + -2n -15n = -2n Solving -15n = -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -15n + 2n = -2n + 2n Combine like terms: -15n + 2n = -13n -13n = -2n + 2n Combine like terms: -2n + 2n = 0 -13n = 0 Divide each side by '-13'. n = 0 Simplifying n = 0
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