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Simplifying 6 + -39(2k + -4) = -18 Reorder the terms: 6 + -39(-4 + 2k) = -18 6 + (-4 * -39 + 2k * -39) = -18 6 + (156 + -78k) = -18 Combine like terms: 6 + 156 = 162 162 + -78k = -18 Solving 162 + -78k = -18 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-162' to each side of the equation. 162 + -162 + -78k = -18 + -162 Combine like terms: 162 + -162 = 0 0 + -78k = -18 + -162 -78k = -18 + -162 Combine like terms: -18 + -162 = -180 -78k = -180 Divide each side by '-78'. k = 2.307692308 Simplifying k = 2.307692308
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