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Simplifying -64 = 6(-2 + -2n) + 8(1n + -8) -64 = (-2 * 6 + -2n * 6) + 8(1n + -8) -64 = (-12 + -12n) + 8(1n + -8) Reorder the terms: -64 = -12 + -12n + 8(-8 + 1n) -64 = -12 + -12n + (-8 * 8 + 1n * 8) -64 = -12 + -12n + (-64 + 8n) Reorder the terms: -64 = -12 + -64 + -12n + 8n Combine like terms: -12 + -64 = -76 -64 = -76 + -12n + 8n Combine like terms: -12n + 8n = -4n -64 = -76 + -4n Solving -64 = -76 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -64 + 4n = -76 + -4n + 4n Combine like terms: -4n + 4n = 0 -64 + 4n = -76 + 0 -64 + 4n = -76 Add '64' to each side of the equation. -64 + 64 + 4n = -76 + 64 Combine like terms: -64 + 64 = 0 0 + 4n = -76 + 64 4n = -76 + 64 Combine like terms: -76 + 64 = -12 4n = -12 Divide each side by '4'. n = -3 Simplifying n = -3
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