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Simplifying -2(5 + 8n) + 3n = 7n + -10 (5 * -2 + 8n * -2) + 3n = 7n + -10 (-10 + -16n) + 3n = 7n + -10 Combine like terms: -16n + 3n = -13n -10 + -13n = 7n + -10 Reorder the terms: -10 + -13n = -10 + 7n Add '10' to each side of the equation. -10 + 10 + -13n = -10 + 10 + 7n Combine like terms: -10 + 10 = 0 0 + -13n = -10 + 10 + 7n -13n = -10 + 10 + 7n Combine like terms: -10 + 10 = 0 -13n = 0 + 7n -13n = 7n Solving -13n = 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -13n + -7n = 7n + -7n Combine like terms: -13n + -7n = -20n -20n = 7n + -7n Combine like terms: 7n + -7n = 0 -20n = 0 Divide each side by '-20'. n = 0.0 Simplifying n = 0.0
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