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Simplifying -28 + -2k = -4(5k + 8) Reorder the terms: -28 + -2k = -4(8 + 5k) -28 + -2k = (8 * -4 + 5k * -4) -28 + -2k = (-32 + -20k) Solving -28 + -2k = -32 + -20k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '20k' to each side of the equation. -28 + -2k + 20k = -32 + -20k + 20k Combine like terms: -2k + 20k = 18k -28 + 18k = -32 + -20k + 20k Combine like terms: -20k + 20k = 0 -28 + 18k = -32 + 0 -28 + 18k = -32 Add '28' to each side of the equation. -28 + 28 + 18k = -32 + 28 Combine like terms: -28 + 28 = 0 0 + 18k = -32 + 28 18k = -32 + 28 Combine like terms: -32 + 28 = -4 18k = -4 Divide each side by '18'. k = -0.2222222222 Simplifying k = -0.2222222222
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