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Simplifying 6n + -3 = -1 + 5(n + 3) Reorder the terms: -3 + 6n = -1 + 5(n + 3) Reorder the terms: -3 + 6n = -1 + 5(3 + n) -3 + 6n = -1 + (3 * 5 + n * 5) -3 + 6n = -1 + (15 + 5n) Combine like terms: -1 + 15 = 14 -3 + 6n = 14 + 5n Solving -3 + 6n = 14 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -3 + 6n + -5n = 14 + 5n + -5n Combine like terms: 6n + -5n = 1n -3 + 1n = 14 + 5n + -5n Combine like terms: 5n + -5n = 0 -3 + 1n = 14 + 0 -3 + 1n = 14 Add '3' to each side of the equation. -3 + 3 + 1n = 14 + 3 Combine like terms: -3 + 3 = 0 0 + 1n = 14 + 3 1n = 14 + 3 Combine like terms: 14 + 3 = 17 1n = 17 Divide each side by '1'. n = 17 Simplifying n = 17
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