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Simplifying 4n + -3(n + 5) = 4(-2 + 2n) Reorder the terms: 4n + -3(5 + n) = 4(-2 + 2n) 4n + (5 * -3 + n * -3) = 4(-2 + 2n) 4n + (-15 + -3n) = 4(-2 + 2n) Reorder the terms: -15 + 4n + -3n = 4(-2 + 2n) Combine like terms: 4n + -3n = 1n -15 + 1n = 4(-2 + 2n) -15 + 1n = (-2 * 4 + 2n * 4) -15 + 1n = (-8 + 8n) Solving -15 + 1n = -8 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -15 + 1n + -8n = -8 + 8n + -8n Combine like terms: 1n + -8n = -7n -15 + -7n = -8 + 8n + -8n Combine like terms: 8n + -8n = 0 -15 + -7n = -8 + 0 -15 + -7n = -8 Add '15' to each side of the equation. -15 + 15 + -7n = -8 + 15 Combine like terms: -15 + 15 = 0 0 + -7n = -8 + 15 -7n = -8 + 15 Combine like terms: -8 + 15 = 7 -7n = 7 Divide each side by '-7'. n = -1 Simplifying n = -1
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