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Simplifying -5n + -28 = -8 + -5(-2n + -5) Reorder the terms: -28 + -5n = -8 + -5(-2n + -5) Reorder the terms: -28 + -5n = -8 + -5(-5 + -2n) -28 + -5n = -8 + (-5 * -5 + -2n * -5) -28 + -5n = -8 + (25 + 10n) Combine like terms: -8 + 25 = 17 -28 + -5n = 17 + 10n Solving -28 + -5n = 17 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. -28 + -5n + -10n = 17 + 10n + -10n Combine like terms: -5n + -10n = -15n -28 + -15n = 17 + 10n + -10n Combine like terms: 10n + -10n = 0 -28 + -15n = 17 + 0 -28 + -15n = 17 Add '28' to each side of the equation. -28 + 28 + -15n = 17 + 28 Combine like terms: -28 + 28 = 0 0 + -15n = 17 + 28 -15n = 17 + 28 Combine like terms: 17 + 28 = 45 -15n = 45 Divide each side by '-15'. n = -3 Simplifying n = -3
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