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Simplifying 8(5n + -7) = -4(8 + -4n) Reorder the terms: 8(-7 + 5n) = -4(8 + -4n) (-7 * 8 + 5n * 8) = -4(8 + -4n) (-56 + 40n) = -4(8 + -4n) -56 + 40n = (8 * -4 + -4n * -4) -56 + 40n = (-32 + 16n) Solving -56 + 40n = -32 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. -56 + 40n + -16n = -32 + 16n + -16n Combine like terms: 40n + -16n = 24n -56 + 24n = -32 + 16n + -16n Combine like terms: 16n + -16n = 0 -56 + 24n = -32 + 0 -56 + 24n = -32 Add '56' to each side of the equation. -56 + 56 + 24n = -32 + 56 Combine like terms: -56 + 56 = 0 0 + 24n = -32 + 56 24n = -32 + 56 Combine like terms: -32 + 56 = 24 24n = 24 Divide each side by '24'. n = 1 Simplifying n = 1
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