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Simplifying 7(1 + -2n) = -33 + -6n (1 * 7 + -2n * 7) = -33 + -6n (7 + -14n) = -33 + -6n Solving 7 + -14n = -33 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 7 + -14n + 6n = -33 + -6n + 6n Combine like terms: -14n + 6n = -8n 7 + -8n = -33 + -6n + 6n Combine like terms: -6n + 6n = 0 7 + -8n = -33 + 0 7 + -8n = -33 Add '-7' to each side of the equation. 7 + -7 + -8n = -33 + -7 Combine like terms: 7 + -7 = 0 0 + -8n = -33 + -7 -8n = -33 + -7 Combine like terms: -33 + -7 = -40 -8n = -40 Divide each side by '-8'. n = 5 Simplifying n = 5
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