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Simplifying -33 + -1n = 7(1 + n) -33 + -1n = (1 * 7 + n * 7) -33 + -1n = (7 + 7n) Solving -33 + -1n = 7 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -33 + -1n + -7n = 7 + 7n + -7n Combine like terms: -1n + -7n = -8n -33 + -8n = 7 + 7n + -7n Combine like terms: 7n + -7n = 0 -33 + -8n = 7 + 0 -33 + -8n = 7 Add '33' to each side of the equation. -33 + 33 + -8n = 7 + 33 Combine like terms: -33 + 33 = 0 0 + -8n = 7 + 33 -8n = 7 + 33 Combine like terms: 7 + 33 = 40 -8n = 40 Divide each side by '-8'. n = -5 Simplifying n = -5
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