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Simplifying 162 = -6(8k + -3) Reorder the terms: 162 = -6(-3 + 8k) 162 = (-3 * -6 + 8k * -6) 162 = (18 + -48k) Solving 162 = 18 + -48k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '48k' to each side of the equation. 162 + 48k = 18 + -48k + 48k Combine like terms: -48k + 48k = 0 162 + 48k = 18 + 0 162 + 48k = 18 Add '-162' to each side of the equation. 162 + -162 + 48k = 18 + -162 Combine like terms: 162 + -162 = 0 0 + 48k = 18 + -162 48k = 18 + -162 Combine like terms: 18 + -162 = -144 48k = -144 Divide each side by '48'. k = -3 Simplifying k = -3
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