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Simplifying 33 + -8n = 5 + -1(6n + -3) Reorder the terms: 33 + -8n = 5 + -1(-3 + 6n) 33 + -8n = 5 + (-3 * -1 + 6n * -1) 33 + -8n = 5 + (3 + -6n) Combine like terms: 5 + 3 = 8 33 + -8n = 8 + -6n Solving 33 + -8n = 8 + -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. 33 + -8n + 6n = 8 + -6n + 6n Combine like terms: -8n + 6n = -2n 33 + -2n = 8 + -6n + 6n Combine like terms: -6n + 6n = 0 33 + -2n = 8 + 0 33 + -2n = 8 Add '-33' to each side of the equation. 33 + -33 + -2n = 8 + -33 Combine like terms: 33 + -33 = 0 0 + -2n = 8 + -33 -2n = 8 + -33 Combine like terms: 8 + -33 = -25 -2n = -25 Divide each side by '-2'. n = 12.5 Simplifying n = 12.5
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