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Simplifying 3(8k + -4) + -7k = -114 Reorder the terms: 3(-4 + 8k) + -7k = -114 (-4 * 3 + 8k * 3) + -7k = -114 (-12 + 24k) + -7k = -114 Combine like terms: 24k + -7k = 17k -12 + 17k = -114 Solving -12 + 17k = -114 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 17k = -114 + 12 Combine like terms: -12 + 12 = 0 0 + 17k = -114 + 12 17k = -114 + 12 Combine like terms: -114 + 12 = -102 17k = -102 Divide each side by '17'. k = -6 Simplifying k = -6
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