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Simplifying 2n + -3(n + 5) = 7n Reorder the terms: 2n + -3(5 + n) = 7n 2n + (5 * -3 + n * -3) = 7n 2n + (-15 + -3n) = 7n Reorder the terms: -15 + 2n + -3n = 7n Combine like terms: 2n + -3n = -1n -15 + -1n = 7n Solving -15 + -1n = 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. -15 + -1n + -7n = 7n + -7n Combine like terms: -1n + -7n = -8n -15 + -8n = 7n + -7n Combine like terms: 7n + -7n = 0 -15 + -8n = 0 Add '15' to each side of the equation. -15 + 15 + -8n = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -8n = 0 + 15 -8n = 0 + 15 Combine like terms: 0 + 15 = 15 -8n = 15 Divide each side by '-8'. n = -1.875 Simplifying n = -1.875
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