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Simplifying 3 + 6n = 4(n + -3) + 19 Reorder the terms: 3 + 6n = 4(-3 + n) + 19 3 + 6n = (-3 * 4 + n * 4) + 19 3 + 6n = (-12 + 4n) + 19 Reorder the terms: 3 + 6n = -12 + 19 + 4n Combine like terms: -12 + 19 = 7 3 + 6n = 7 + 4n Solving 3 + 6n = 7 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 3 + 6n + -4n = 7 + 4n + -4n Combine like terms: 6n + -4n = 2n 3 + 2n = 7 + 4n + -4n Combine like terms: 4n + -4n = 0 3 + 2n = 7 + 0 3 + 2n = 7 Add '-3' to each side of the equation. 3 + -3 + 2n = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 2n = 7 + -3 2n = 7 + -3 Combine like terms: 7 + -3 = 4 2n = 4 Divide each side by '2'. n = 2 Simplifying n = 2
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