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Simplifying -8(1 + -6n) = 33 + 7n (1 * -8 + -6n * -8) = 33 + 7n (-8 + 48n) = 33 + 7n Solving -8 + 48n = 33 + 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. -8 + 48n + -7n = 33 + 7n + -7n Combine like terms: 48n + -7n = 41n -8 + 41n = 33 + 7n + -7n Combine like terms: 7n + -7n = 0 -8 + 41n = 33 + 0 -8 + 41n = 33 Add '8' to each side of the equation. -8 + 8 + 41n = 33 + 8 Combine like terms: -8 + 8 = 0 0 + 41n = 33 + 8 41n = 33 + 8 Combine like terms: 33 + 8 = 41 41n = 41 Divide each side by '41'. n = 1 Simplifying n = 1
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