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Simplifying -258 = -7(5n + -4) + -6 Reorder the terms: -258 = -7(-4 + 5n) + -6 -258 = (-4 * -7 + 5n * -7) + -6 -258 = (28 + -35n) + -6 Reorder the terms: -258 = 28 + -6 + -35n Combine like terms: 28 + -6 = 22 -258 = 22 + -35n Solving -258 = 22 + -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. -258 + 35n = 22 + -35n + 35n Combine like terms: -35n + 35n = 0 -258 + 35n = 22 + 0 -258 + 35n = 22 Add '258' to each side of the equation. -258 + 258 + 35n = 22 + 258 Combine like terms: -258 + 258 = 0 0 + 35n = 22 + 258 35n = 22 + 258 Combine like terms: 22 + 258 = 280 35n = 280 Divide each side by '35'. n = 8 Simplifying n = 8
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