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Simplifying 5(2n + -12) = 2(n + 30) Reorder the terms: 5(-12 + 2n) = 2(n + 30) (-12 * 5 + 2n * 5) = 2(n + 30) (-60 + 10n) = 2(n + 30) Reorder the terms: -60 + 10n = 2(30 + n) -60 + 10n = (30 * 2 + n * 2) -60 + 10n = (60 + 2n) Solving -60 + 10n = 60 + 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. -60 + 10n + -2n = 60 + 2n + -2n Combine like terms: 10n + -2n = 8n -60 + 8n = 60 + 2n + -2n Combine like terms: 2n + -2n = 0 -60 + 8n = 60 + 0 -60 + 8n = 60 Add '60' to each side of the equation. -60 + 60 + 8n = 60 + 60 Combine like terms: -60 + 60 = 0 0 + 8n = 60 + 60 8n = 60 + 60 Combine like terms: 60 + 60 = 120 8n = 120 Divide each side by '8'. n = 15 Simplifying n = 15
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