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Simplifying 33 + -7n = 8(1 + -4n) 33 + -7n = (1 * 8 + -4n * 8) 33 + -7n = (8 + -32n) Solving 33 + -7n = 8 + -32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '32n' to each side of the equation. 33 + -7n + 32n = 8 + -32n + 32n Combine like terms: -7n + 32n = 25n 33 + 25n = 8 + -32n + 32n Combine like terms: -32n + 32n = 0 33 + 25n = 8 + 0 33 + 25n = 8 Add '-33' to each side of the equation. 33 + -33 + 25n = 8 + -33 Combine like terms: 33 + -33 = 0 0 + 25n = 8 + -33 25n = 8 + -33 Combine like terms: 8 + -33 = -25 25n = -25 Divide each side by '25'. n = -1 Simplifying n = -1
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