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Simplifying -122 = -3(1 + 4k) + -5k -122 = (1 * -3 + 4k * -3) + -5k -122 = (-3 + -12k) + -5k Combine like terms: -12k + -5k = -17k -122 = -3 + -17k Solving -122 = -3 + -17k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '17k' to each side of the equation. -122 + 17k = -3 + -17k + 17k Combine like terms: -17k + 17k = 0 -122 + 17k = -3 + 0 -122 + 17k = -3 Add '122' to each side of the equation. -122 + 122 + 17k = -3 + 122 Combine like terms: -122 + 122 = 0 0 + 17k = -3 + 122 17k = -3 + 122 Combine like terms: -3 + 122 = 119 17k = 119 Divide each side by '17'. k = 7 Simplifying k = 7
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