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Simplifying 8(n + -7) + -8(3n + -1) = 0 Reorder the terms: 8(-7 + n) + -8(3n + -1) = 0 (-7 * 8 + n * 8) + -8(3n + -1) = 0 (-56 + 8n) + -8(3n + -1) = 0 Reorder the terms: -56 + 8n + -8(-1 + 3n) = 0 -56 + 8n + (-1 * -8 + 3n * -8) = 0 -56 + 8n + (8 + -24n) = 0 Reorder the terms: -56 + 8 + 8n + -24n = 0 Combine like terms: -56 + 8 = -48 -48 + 8n + -24n = 0 Combine like terms: 8n + -24n = -16n -48 + -16n = 0 Solving -48 + -16n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -16n = 0 + 48 Combine like terms: -48 + 48 = 0 0 + -16n = 0 + 48 -16n = 0 + 48 Combine like terms: 0 + 48 = 48 -16n = 48 Divide each side by '-16'. n = -3 Simplifying n = -3
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