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Simplifying -4(-8 + 3k) + -3k = 122 (-8 * -4 + 3k * -4) + -3k = 122 (32 + -12k) + -3k = 122 Combine like terms: -12k + -3k = -15k 32 + -15k = 122 Solving 32 + -15k = 122 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -15k = 122 + -32 Combine like terms: 32 + -32 = 0 0 + -15k = 122 + -32 -15k = 122 + -32 Combine like terms: 122 + -32 = 90 -15k = 90 Divide each side by '-15'. k = -6 Simplifying k = -6
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