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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 = -12k -28 + -12k = -4 + 2k + -2k Combine like terms: 2k + -2k = 0 -28 + -12k = -4 + 0 -28 + -12k = -4 Add '28' to each side of the equation. -28 + 28 + -12k = -4 + 28 Combine like terms: -28 + 28 = 0 0 + -12k = -4 + 28 -12k = -4 + 28 Combine like terms: -4 + 28 = 24 -12k = 24 Divide each side by '-12'. k = -2 Simplifying k = -2
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