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Simplifying 3n + 7 = -5(6 + -8n) Reorder the terms: 7 + 3n = -5(6 + -8n) 7 + 3n = (6 * -5 + -8n * -5) 7 + 3n = (-30 + 40n) Solving 7 + 3n = -30 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. 7 + 3n + -40n = -30 + 40n + -40n Combine like terms: 3n + -40n = -37n 7 + -37n = -30 + 40n + -40n Combine like terms: 40n + -40n = 0 7 + -37n = -30 + 0 7 + -37n = -30 Add '-7' to each side of the equation. 7 + -7 + -37n = -30 + -7 Combine like terms: 7 + -7 = 0 0 + -37n = -30 + -7 -37n = -30 + -7 Combine like terms: -30 + -7 = -37 -37n = -37 Divide each side by '-37'. n = 1 Simplifying n = 1
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