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Simplifying -5(6 + -12n) = 3(-17 + 19n) (6 * -5 + -12n * -5) = 3(-17 + 19n) (-30 + 60n) = 3(-17 + 19n) -30 + 60n = (-17 * 3 + 19n * 3) -30 + 60n = (-51 + 57n) Solving -30 + 60n = -51 + 57n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-57n' to each side of the equation. -30 + 60n + -57n = -51 + 57n + -57n Combine like terms: 60n + -57n = 3n -30 + 3n = -51 + 57n + -57n Combine like terms: 57n + -57n = 0 -30 + 3n = -51 + 0 -30 + 3n = -51 Add '30' to each side of the equation. -30 + 30 + 3n = -51 + 30 Combine like terms: -30 + 30 = 0 0 + 3n = -51 + 30 3n = -51 + 30 Combine like terms: -51 + 30 = -21 3n = -21 Divide each side by '3'. n = -7 Simplifying n = -7
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