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Simplifying -8(n + 7) = -6(n + 4) Reorder the terms: -8(7 + n) = -6(n + 4) (7 * -8 + n * -8) = -6(n + 4) (-56 + -8n) = -6(n + 4) Reorder the terms: -56 + -8n = -6(4 + n) -56 + -8n = (4 * -6 + n * -6) -56 + -8n = (-24 + -6n) Solving -56 + -8n = -24 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -56 + -8n + 6n = -24 + -6n + 6n Combine like terms: -8n + 6n = -2n -56 + -2n = -24 + -6n + 6n Combine like terms: -6n + 6n = 0 -56 + -2n = -24 + 0 -56 + -2n = -24 Add '56' to each side of the equation. -56 + 56 + -2n = -24 + 56 Combine like terms: -56 + 56 = 0 0 + -2n = -24 + 56 -2n = -24 + 56 Combine like terms: -24 + 56 = 32 -2n = 32 Divide each side by '-2'. n = -16 Simplifying n = -16
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