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Simplifying 13 + 19n = n + 1 + 19n Reorder the terms: 13 + 19n = 1 + n + 19n Combine like terms: n + 19n = 20n 13 + 19n = 1 + 20n Solving 13 + 19n = 1 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. 13 + 19n + -20n = 1 + 20n + -20n Combine like terms: 19n + -20n = -1n 13 + -1n = 1 + 20n + -20n Combine like terms: 20n + -20n = 0 13 + -1n = 1 + 0 13 + -1n = 1 Add '-13' to each side of the equation. 13 + -13 + -1n = 1 + -13 Combine like terms: 13 + -13 = 0 0 + -1n = 1 + -13 -1n = 1 + -13 Combine like terms: 1 + -13 = -12 -1n = -12 Divide each side by '-1'. n = 12 Simplifying n = 12
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