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Simplifying 2(2n + -3) = 5n + -19 Reorder the terms: 2(-3 + 2n) = 5n + -19 (-3 * 2 + 2n * 2) = 5n + -19 (-6 + 4n) = 5n + -19 Reorder the terms: -6 + 4n = -19 + 5n Solving -6 + 4n = -19 + 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. -6 + 4n + -5n = -19 + 5n + -5n Combine like terms: 4n + -5n = -1n -6 + -1n = -19 + 5n + -5n Combine like terms: 5n + -5n = 0 -6 + -1n = -19 + 0 -6 + -1n = -19 Add '6' to each side of the equation. -6 + 6 + -1n = -19 + 6 Combine like terms: -6 + 6 = 0 0 + -1n = -19 + 6 -1n = -19 + 6 Combine like terms: -19 + 6 = -13 -1n = -13 Divide each side by '-1'. n = 13 Simplifying n = 13
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