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Simplifying 6n + 7 = 3 + 2(n + -4) Reorder the terms: 7 + 6n = 3 + 2(n + -4) Reorder the terms: 7 + 6n = 3 + 2(-4 + n) 7 + 6n = 3 + (-4 * 2 + n * 2) 7 + 6n = 3 + (-8 + 2n) Combine like terms: 3 + -8 = -5 7 + 6n = -5 + 2n Solving 7 + 6n = -5 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 7 + 6n + -2n = -5 + 2n + -2n Combine like terms: 6n + -2n = 4n 7 + 4n = -5 + 2n + -2n Combine like terms: 2n + -2n = 0 7 + 4n = -5 + 0 7 + 4n = -5 Add '-7' to each side of the equation. 7 + -7 + 4n = -5 + -7 Combine like terms: 7 + -7 = 0 0 + 4n = -5 + -7 4n = -5 + -7 Combine like terms: -5 + -7 = -12 4n = -12 Divide each side by '4'. n = -3 Simplifying n = -3
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