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Simplifying 106 = -8(4 + 5n) + -6n 106 = (4 * -8 + 5n * -8) + -6n 106 = (-32 + -40n) + -6n Combine like terms: -40n + -6n = -46n 106 = -32 + -46n Solving 106 = -32 + -46n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '46n' to each side of the equation. 106 + 46n = -32 + -46n + 46n Combine like terms: -46n + 46n = 0 106 + 46n = -32 + 0 106 + 46n = -32 Add '-106' to each side of the equation. 106 + -106 + 46n = -32 + -106 Combine like terms: 106 + -106 = 0 0 + 46n = -32 + -106 46n = -32 + -106 Combine like terms: -32 + -106 = -138 46n = -138 Divide each side by '46'. n = -3 Simplifying n = -3
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