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Simplifying 4k + 7(-4 + -2k) = -1(k + -2) 4k + (-4 * 7 + -2k * 7) = -1(k + -2) 4k + (-28 + -14k) = -1(k + -2) Reorder the terms: -28 + 4k + -14k = -1(k + -2) Combine like terms: 4k + -14k = -10k -28 + -10k = -1(k + -2) Reorder the terms: -28 + -10k = -1(-2 + k) -28 + -10k = (-2 * -1 + k * -1) -28 + -10k = (2 + -1k) Solving -28 + -10k = 2 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -28 + -10k + k = 2 + -1k + k Combine like terms: -10k + k = -9k -28 + -9k = 2 + -1k + k Combine like terms: -1k + k = 0 -28 + -9k = 2 + 0 -28 + -9k = 2 Add '28' to each side of the equation. -28 + 28 + -9k = 2 + 28 Combine like terms: -28 + 28 = 0 0 + -9k = 2 + 28 -9k = 2 + 28 Combine like terms: 2 + 28 = 30 -9k = 30 Divide each side by '-9'. k = -3.333333333 Simplifying k = -3.333333333
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