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Simplifying 4k + 7(-4 + -2k) = 0 4k + (-4 * 7 + -2k * 7) = 0 4k + (-28 + -14k) = 0 Reorder the terms: -28 + 4k + -14k = 0 Combine like terms: 4k + -14k = -10k -28 + -10k = 0 Solving -28 + -10k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -10k = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -10k = 0 + 28 -10k = 0 + 28 Combine like terms: 0 + 28 = 28 -10k = 28 Divide each side by '-10'. k = -2.8 Simplifying k = -2.8
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