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Simplifying 12 + 2n = -5(6 + 8n) 12 + 2n = (6 * -5 + 8n * -5) 12 + 2n = (-30 + -40n) Solving 12 + 2n = -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. 12 + 2n + 40n = -30 + -40n + 40n Combine like terms: 2n + 40n = 42n 12 + 42n = -30 + -40n + 40n Combine like terms: -40n + 40n = 0 12 + 42n = -30 + 0 12 + 42n = -30 Add '-12' to each side of the equation. 12 + -12 + 42n = -30 + -12 Combine like terms: 12 + -12 = 0 0 + 42n = -30 + -12 42n = -30 + -12 Combine like terms: -30 + -12 = -42 42n = -42 Divide each side by '42'. n = -1 Simplifying n = -1
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