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Simplifying 4(5n + -6) + -5 = -3 + 3(-2 + 8n) Reorder the terms: 4(-6 + 5n) + -5 = -3 + 3(-2 + 8n) (-6 * 4 + 5n * 4) + -5 = -3 + 3(-2 + 8n) (-24 + 20n) + -5 = -3 + 3(-2 + 8n) Reorder the terms: -24 + -5 + 20n = -3 + 3(-2 + 8n) Combine like terms: -24 + -5 = -29 -29 + 20n = -3 + 3(-2 + 8n) -29 + 20n = -3 + (-2 * 3 + 8n * 3) -29 + 20n = -3 + (-6 + 24n) Combine like terms: -3 + -6 = -9 -29 + 20n = -9 + 24n Solving -29 + 20n = -9 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. -29 + 20n + -24n = -9 + 24n + -24n Combine like terms: 20n + -24n = -4n -29 + -4n = -9 + 24n + -24n Combine like terms: 24n + -24n = 0 -29 + -4n = -9 + 0 -29 + -4n = -9 Add '29' to each side of the equation. -29 + 29 + -4n = -9 + 29 Combine like terms: -29 + 29 = 0 0 + -4n = -9 + 29 -4n = -9 + 29 Combine like terms: -9 + 29 = 20 -4n = 20 Divide each side by '-4'. n = -5 Simplifying n = -5
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