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Simplifying 8 + -4(n + 7) = -4(7n + 8) + 7 Reorder the terms: 8 + -4(7 + n) = -4(7n + 8) + 7 8 + (7 * -4 + n * -4) = -4(7n + 8) + 7 8 + (-28 + -4n) = -4(7n + 8) + 7 Combine like terms: 8 + -28 = -20 -20 + -4n = -4(7n + 8) + 7 Reorder the terms: -20 + -4n = -4(8 + 7n) + 7 -20 + -4n = (8 * -4 + 7n * -4) + 7 -20 + -4n = (-32 + -28n) + 7 Reorder the terms: -20 + -4n = -32 + 7 + -28n Combine like terms: -32 + 7 = -25 -20 + -4n = -25 + -28n Solving -20 + -4n = -25 + -28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '28n' to each side of the equation. -20 + -4n + 28n = -25 + -28n + 28n Combine like terms: -4n + 28n = 24n -20 + 24n = -25 + -28n + 28n Combine like terms: -28n + 28n = 0 -20 + 24n = -25 + 0 -20 + 24n = -25 Add '20' to each side of the equation. -20 + 20 + 24n = -25 + 20 Combine like terms: -20 + 20 = 0 0 + 24n = -25 + 20 24n = -25 + 20 Combine like terms: -25 + 20 = -5 24n = -5 Divide each side by '24'. n = -0.2083333333 Simplifying n = -0.2083333333
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