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Simplifying 5(2n + -1) + 9 = 2(n + -2) Reorder the terms: 5(-1 + 2n) + 9 = 2(n + -2) (-1 * 5 + 2n * 5) + 9 = 2(n + -2) (-5 + 10n) + 9 = 2(n + -2) Reorder the terms: -5 + 9 + 10n = 2(n + -2) Combine like terms: -5 + 9 = 4 4 + 10n = 2(n + -2) Reorder the terms: 4 + 10n = 2(-2 + n) 4 + 10n = (-2 * 2 + n * 2) 4 + 10n = (-4 + 2n) Solving 4 + 10n = -4 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 4 + 10n + -2n = -4 + 2n + -2n Combine like terms: 10n + -2n = 8n 4 + 8n = -4 + 2n + -2n Combine like terms: 2n + -2n = 0 4 + 8n = -4 + 0 4 + 8n = -4 Add '-4' to each side of the equation. 4 + -4 + 8n = -4 + -4 Combine like terms: 4 + -4 = 0 0 + 8n = -4 + -4 8n = -4 + -4 Combine like terms: -4 + -4 = -8 8n = -8 Divide each side by '8'. n = -1 Simplifying n = -1
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