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Simplifying 5n + 7 = -6(-5n + 4) + 6n Reorder the terms: 7 + 5n = -6(-5n + 4) + 6n Reorder the terms: 7 + 5n = -6(4 + -5n) + 6n 7 + 5n = (4 * -6 + -5n * -6) + 6n 7 + 5n = (-24 + 30n) + 6n Combine like terms: 30n + 6n = 36n 7 + 5n = -24 + 36n Solving 7 + 5n = -24 + 36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36n' to each side of the equation. 7 + 5n + -36n = -24 + 36n + -36n Combine like terms: 5n + -36n = -31n 7 + -31n = -24 + 36n + -36n Combine like terms: 36n + -36n = 0 7 + -31n = -24 + 0 7 + -31n = -24 Add '-7' to each side of the equation. 7 + -7 + -31n = -24 + -7 Combine like terms: 7 + -7 = 0 0 + -31n = -24 + -7 -31n = -24 + -7 Combine like terms: -24 + -7 = -31 -31n = -31 Divide each side by '-31'. n = 1 Simplifying n = 1
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