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Simplifying -60 = 2(6n + -6) + -5(8n + 4) Reorder the terms: -60 = 2(-6 + 6n) + -5(8n + 4) -60 = (-6 * 2 + 6n * 2) + -5(8n + 4) -60 = (-12 + 12n) + -5(8n + 4) Reorder the terms: -60 = -12 + 12n + -5(4 + 8n) -60 = -12 + 12n + (4 * -5 + 8n * -5) -60 = -12 + 12n + (-20 + -40n) Reorder the terms: -60 = -12 + -20 + 12n + -40n Combine like terms: -12 + -20 = -32 -60 = -32 + 12n + -40n Combine like terms: 12n + -40n = -28n -60 = -32 + -28n Solving -60 = -32 + -28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '28n' to each side of the equation. -60 + 28n = -32 + -28n + 28n Combine like terms: -28n + 28n = 0 -60 + 28n = -32 + 0 -60 + 28n = -32 Add '60' to each side of the equation. -60 + 60 + 28n = -32 + 60 Combine like terms: -60 + 60 = 0 0 + 28n = -32 + 60 28n = -32 + 60 Combine like terms: -32 + 60 = 28 28n = 28 Divide each side by '28'. n = 1 Simplifying n = 1
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