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Simplifying -76 = 4(-6 + -2n) + -5n -76 = (-6 * 4 + -2n * 4) + -5n -76 = (-24 + -8n) + -5n Combine like terms: -8n + -5n = -13n -76 = -24 + -13n Solving -76 = -24 + -13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '13n' to each side of the equation. -76 + 13n = -24 + -13n + 13n Combine like terms: -13n + 13n = 0 -76 + 13n = -24 + 0 -76 + 13n = -24 Add '76' to each side of the equation. -76 + 76 + 13n = -24 + 76 Combine like terms: -76 + 76 = 0 0 + 13n = -24 + 76 13n = -24 + 76 Combine like terms: -24 + 76 = 52 13n = 52 Divide each side by '13'. n = 4 Simplifying n = 4
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