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Simplifying -48(n + 25) = 8(n + 67) Reorder the terms: -48(25 + n) = 8(n + 67) (25 * -48 + n * -48) = 8(n + 67) (-1200 + -48n) = 8(n + 67) Reorder the terms: -1200 + -48n = 8(67 + n) -1200 + -48n = (67 * 8 + n * 8) -1200 + -48n = (536 + 8n) Solving -1200 + -48n = 536 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -1200 + -48n + -8n = 536 + 8n + -8n Combine like terms: -48n + -8n = -56n -1200 + -56n = 536 + 8n + -8n Combine like terms: 8n + -8n = 0 -1200 + -56n = 536 + 0 -1200 + -56n = 536 Add '1200' to each side of the equation. -1200 + 1200 + -56n = 536 + 1200 Combine like terms: -1200 + 1200 = 0 0 + -56n = 536 + 1200 -56n = 536 + 1200 Combine like terms: 536 + 1200 = 1736 -56n = 1736 Divide each side by '-56'. n = -31 Simplifying n = -31
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