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Simplifying 30 + 7n = -7n + -8(3n + 1) Reorder the terms: 30 + 7n = -7n + -8(1 + 3n) 30 + 7n = -7n + (1 * -8 + 3n * -8) 30 + 7n = -7n + (-8 + -24n) Reorder the terms: 30 + 7n = -8 + -7n + -24n Combine like terms: -7n + -24n = -31n 30 + 7n = -8 + -31n Solving 30 + 7n = -8 + -31n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '31n' to each side of the equation. 30 + 7n + 31n = -8 + -31n + 31n Combine like terms: 7n + 31n = 38n 30 + 38n = -8 + -31n + 31n Combine like terms: -31n + 31n = 0 30 + 38n = -8 + 0 30 + 38n = -8 Add '-30' to each side of the equation. 30 + -30 + 38n = -8 + -30 Combine like terms: 30 + -30 = 0 0 + 38n = -8 + -30 38n = -8 + -30 Combine like terms: -8 + -30 = -38 38n = -38 Divide each side by '38'. n = -1 Simplifying n = -1
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