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Simplifying -3 + 6n = 7(3n + -7) + 8n Reorder the terms: -3 + 6n = 7(-7 + 3n) + 8n -3 + 6n = (-7 * 7 + 3n * 7) + 8n -3 + 6n = (-49 + 21n) + 8n Combine like terms: 21n + 8n = 29n -3 + 6n = -49 + 29n Solving -3 + 6n = -49 + 29n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-29n' to each side of the equation. -3 + 6n + -29n = -49 + 29n + -29n Combine like terms: 6n + -29n = -23n -3 + -23n = -49 + 29n + -29n Combine like terms: 29n + -29n = 0 -3 + -23n = -49 + 0 -3 + -23n = -49 Add '3' to each side of the equation. -3 + 3 + -23n = -49 + 3 Combine like terms: -3 + 3 = 0 0 + -23n = -49 + 3 -23n = -49 + 3 Combine like terms: -49 + 3 = -46 -23n = -46 Divide each side by '-23'. n = 2 Simplifying n = 2
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