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Simplifying -3 + 7(4n + -7) = 6n + -13 Reorder the terms: -3 + 7(-7 + 4n) = 6n + -13 -3 + (-7 * 7 + 4n * 7) = 6n + -13 -3 + (-49 + 28n) = 6n + -13 Combine like terms: -3 + -49 = -52 -52 + 28n = 6n + -13 Reorder the terms: -52 + 28n = -13 + 6n Solving -52 + 28n = -13 + 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. -52 + 28n + -6n = -13 + 6n + -6n Combine like terms: 28n + -6n = 22n -52 + 22n = -13 + 6n + -6n Combine like terms: 6n + -6n = 0 -52 + 22n = -13 + 0 -52 + 22n = -13 Add '52' to each side of the equation. -52 + 52 + 22n = -13 + 52 Combine like terms: -52 + 52 = 0 0 + 22n = -13 + 52 22n = -13 + 52 Combine like terms: -13 + 52 = 39 22n = 39 Divide each side by '22'. n = 1.772727273 Simplifying n = 1.772727273
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