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Simplifying 3n + -1(n + -5) = 5(2n + 3) + -22 Reorder the terms: 3n + -1(-5 + n) = 5(2n + 3) + -22 3n + (-5 * -1 + n * -1) = 5(2n + 3) + -22 3n + (5 + -1n) = 5(2n + 3) + -22 Reorder the terms: 5 + 3n + -1n = 5(2n + 3) + -22 Combine like terms: 3n + -1n = 2n 5 + 2n = 5(2n + 3) + -22 Reorder the terms: 5 + 2n = 5(3 + 2n) + -22 5 + 2n = (3 * 5 + 2n * 5) + -22 5 + 2n = (15 + 10n) + -22 Reorder the terms: 5 + 2n = 15 + -22 + 10n Combine like terms: 15 + -22 = -7 5 + 2n = -7 + 10n Solving 5 + 2n = -7 + 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. 5 + 2n + -10n = -7 + 10n + -10n Combine like terms: 2n + -10n = -8n 5 + -8n = -7 + 10n + -10n Combine like terms: 10n + -10n = 0 5 + -8n = -7 + 0 5 + -8n = -7 Add '-5' to each side of the equation. 5 + -5 + -8n = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -8n = -7 + -5 -8n = -7 + -5 Combine like terms: -7 + -5 = -12 -8n = -12 Divide each side by '-8'. n = 1.5 Simplifying n = 1.5
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