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Simplifying -2 + -13.8n = -8 + -1(6n + 1) Reorder the terms: -2 + -13.8n = -8 + -1(1 + 6n) -2 + -13.8n = -8 + (1 * -1 + 6n * -1) -2 + -13.8n = -8 + (-1 + -6n) Combine like terms: -8 + -1 = -9 -2 + -13.8n = -9 + -6n Solving -2 + -13.8n = -9 + -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. -2 + -13.8n + 6n = -9 + -6n + 6n Combine like terms: -13.8n + 6n = -7.8n -2 + -7.8n = -9 + -6n + 6n Combine like terms: -6n + 6n = 0 -2 + -7.8n = -9 + 0 -2 + -7.8n = -9 Add '2' to each side of the equation. -2 + 2 + -7.8n = -9 + 2 Combine like terms: -2 + 2 = 0 0 + -7.8n = -9 + 2 -7.8n = -9 + 2 Combine like terms: -9 + 2 = -7 -7.8n = -7 Divide each side by '-7.8'. n = 0.8974358974 Simplifying n = 0.8974358974
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