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Simplifying -33 + 7n = -8(n + 6) Reorder the terms: -33 + 7n = -8(6 + n) -33 + 7n = (6 * -8 + n * -8) -33 + 7n = (-48 + -8n) Solving -33 + 7n = -48 + -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. -33 + 7n + 8n = -48 + -8n + 8n Combine like terms: 7n + 8n = 15n -33 + 15n = -48 + -8n + 8n Combine like terms: -8n + 8n = 0 -33 + 15n = -48 + 0 -33 + 15n = -48 Add '33' to each side of the equation. -33 + 33 + 15n = -48 + 33 Combine like terms: -33 + 33 = 0 0 + 15n = -48 + 33 15n = -48 + 33 Combine like terms: -48 + 33 = -15 15n = -15 Divide each side by '15'. n = -1 Simplifying n = -1
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