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Simplifying 8(4 + -6n) + -2n = 282 (4 * 8 + -6n * 8) + -2n = 282 (32 + -48n) + -2n = 282 Combine like terms: -48n + -2n = -50n 32 + -50n = 282 Solving 32 + -50n = 282 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -50n = 282 + -32 Combine like terms: 32 + -32 = 0 0 + -50n = 282 + -32 -50n = 282 + -32 Combine like terms: 282 + -32 = 250 -50n = 250 Divide each side by '-50'. n = -5 Simplifying n = -5
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