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Simplifying 4n + 19 = 6n + 1 Reorder the terms: 19 + 4n = 6n + 1 Reorder the terms: 19 + 4n = 1 + 6n Solving 19 + 4n = 1 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 19 + 4n + -6n = 1 + 6n + -6n Combine like terms: 4n + -6n = -2n 19 + -2n = 1 + 6n + -6n Combine like terms: 6n + -6n = 0 19 + -2n = 1 + 0 19 + -2n = 1 Add '-19' to each side of the equation. 19 + -19 + -2n = 1 + -19 Combine like terms: 19 + -19 = 0 0 + -2n = 1 + -19 -2n = 1 + -19 Combine like terms: 1 + -19 = -18 -2n = -18 Divide each side by '-2'. n = 9 Simplifying n = 9
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