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Simplifying -4(8 + 4n) = 40 + -7n (8 * -4 + 4n * -4) = 40 + -7n (-32 + -16n) = 40 + -7n Solving -32 + -16n = 40 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -32 + -16n + 7n = 40 + -7n + 7n Combine like terms: -16n + 7n = -9n -32 + -9n = 40 + -7n + 7n Combine like terms: -7n + 7n = 0 -32 + -9n = 40 + 0 -32 + -9n = 40 Add '32' to each side of the equation. -32 + 32 + -9n = 40 + 32 Combine like terms: -32 + 32 = 0 0 + -9n = 40 + 32 -9n = 40 + 32 Combine like terms: 40 + 32 = 72 -9n = 72 Divide each side by '-9'. n = -8 Simplifying n = -8
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