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Simplifying 7 + -8(n + 8) = -6(-2n + 1) + -6 Reorder the terms: 7 + -8(8 + n) = -6(-2n + 1) + -6 7 + (8 * -8 + n * -8) = -6(-2n + 1) + -6 7 + (-64 + -8n) = -6(-2n + 1) + -6 Combine like terms: 7 + -64 = -57 -57 + -8n = -6(-2n + 1) + -6 Reorder the terms: -57 + -8n = -6(1 + -2n) + -6 -57 + -8n = (1 * -6 + -2n * -6) + -6 -57 + -8n = (-6 + 12n) + -6 Reorder the terms: -57 + -8n = -6 + -6 + 12n Combine like terms: -6 + -6 = -12 -57 + -8n = -12 + 12n Solving -57 + -8n = -12 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -57 + -8n + -12n = -12 + 12n + -12n Combine like terms: -8n + -12n = -20n -57 + -20n = -12 + 12n + -12n Combine like terms: 12n + -12n = 0 -57 + -20n = -12 + 0 -57 + -20n = -12 Add '57' to each side of the equation. -57 + 57 + -20n = -12 + 57 Combine like terms: -57 + 57 = 0 0 + -20n = -12 + 57 -20n = -12 + 57 Combine like terms: -12 + 57 = 45 -20n = 45 Divide each side by '-20'. n = -2.25 Simplifying n = -2.25
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