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Simplifying -13 + 6n = -7(5n + -4) Reorder the terms: -13 + 6n = -7(-4 + 5n) -13 + 6n = (-4 * -7 + 5n * -7) -13 + 6n = (28 + -35n) Solving -13 + 6n = 28 + -35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '35n' to each side of the equation. -13 + 6n + 35n = 28 + -35n + 35n Combine like terms: 6n + 35n = 41n -13 + 41n = 28 + -35n + 35n Combine like terms: -35n + 35n = 0 -13 + 41n = 28 + 0 -13 + 41n = 28 Add '13' to each side of the equation. -13 + 13 + 41n = 28 + 13 Combine like terms: -13 + 13 = 0 0 + 41n = 28 + 13 41n = 28 + 13 Combine like terms: 28 + 13 = 41 41n = 41 Divide each side by '41'. n = 1 Simplifying n = 1
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