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Simplifying 3n + -5 = 8(6n + 5) Reorder the terms: -5 + 3n = 8(6n + 5) Reorder the terms: -5 + 3n = 8(5 + 6n) -5 + 3n = (5 * 8 + 6n * 8) -5 + 3n = (40 + 48n) Solving -5 + 3n = 40 + 48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-48n' to each side of the equation. -5 + 3n + -48n = 40 + 48n + -48n Combine like terms: 3n + -48n = -45n -5 + -45n = 40 + 48n + -48n Combine like terms: 48n + -48n = 0 -5 + -45n = 40 + 0 -5 + -45n = 40 Add '5' to each side of the equation. -5 + 5 + -45n = 40 + 5 Combine like terms: -5 + 5 = 0 0 + -45n = 40 + 5 -45n = 40 + 5 Combine like terms: 40 + 5 = 45 -45n = 45 Divide each side by '-45'. n = -1 Simplifying n = -1
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