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Simplifying 8(n + -7) = -8(3n + 3) Reorder the terms: 8(-7 + n) = -8(3n + 3) (-7 * 8 + n * 8) = -8(3n + 3) (-56 + 8n) = -8(3n + 3) Reorder the terms: -56 + 8n = -8(3 + 3n) -56 + 8n = (3 * -8 + 3n * -8) -56 + 8n = (-24 + -24n) Solving -56 + 8n = -24 + -24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24n' to each side of the equation. -56 + 8n + 24n = -24 + -24n + 24n Combine like terms: 8n + 24n = 32n -56 + 32n = -24 + -24n + 24n Combine like terms: -24n + 24n = 0 -56 + 32n = -24 + 0 -56 + 32n = -24 Add '56' to each side of the equation. -56 + 56 + 32n = -24 + 56 Combine like terms: -56 + 56 = 0 0 + 32n = -24 + 56 32n = -24 + 56 Combine like terms: -24 + 56 = 32 32n = 32 Divide each side by '32'. n = 1 Simplifying n = 1
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