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Simplifying 4k + 7(-4 + -2k) = -2(k + -2) 4k + (-4 * 7 + -2k * 7) = -2(k + -2) 4k + (-28 + -14k) = -2(k + -2) Reorder the terms: -28 + 4k + -14k = -2(k + -2) Combine like terms: 4k + -14k = -10k -28 + -10k = -2(k + -2) Reorder the terms: -28 + -10k = -2(-2 + k) -28 + -10k = (-2 * -2 + k * -2) -28 + -10k = (4 + -2k) Solving -28 + -10k = 4 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -28 + -10k + 2k = 4 + -2k + 2k Combine like terms: -10k + 2k = -8k -28 + -8k = 4 + -2k + 2k Combine like terms: -2k + 2k = 0 -28 + -8k = 4 + 0 -28 + -8k = 4 Add '28' to each side of the equation. -28 + 28 + -8k = 4 + 28 Combine like terms: -28 + 28 = 0 0 + -8k = 4 + 28 -8k = 4 + 28 Combine like terms: 4 + 28 = 32 -8k = 32 Divide each side by '-8'. k = -4 Simplifying k = -4
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