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Simplifying -62 = 6 + 4(6n + -5) Reorder the terms: -62 = 6 + 4(-5 + 6n) -62 = 6 + (-5 * 4 + 6n * 4) -62 = 6 + (-20 + 24n) Combine like terms: 6 + -20 = -14 -62 = -14 + 24n Solving -62 = -14 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. -62 + -24n = -14 + 24n + -24n Combine like terms: 24n + -24n = 0 -62 + -24n = -14 + 0 -62 + -24n = -14 Add '62' to each side of the equation. -62 + 62 + -24n = -14 + 62 Combine like terms: -62 + 62 = 0 0 + -24n = -14 + 62 -24n = -14 + 62 Combine like terms: -14 + 62 = 48 -24n = 48 Divide each side by '-24'. n = -2 Simplifying n = -2
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