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Simplifying 5k + -11 = -4(5 + -2k) Reorder the terms: -11 + 5k = -4(5 + -2k) -11 + 5k = (5 * -4 + -2k * -4) -11 + 5k = (-20 + 8k) Solving -11 + 5k = -20 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. -11 + 5k + -8k = -20 + 8k + -8k Combine like terms: 5k + -8k = -3k -11 + -3k = -20 + 8k + -8k Combine like terms: 8k + -8k = 0 -11 + -3k = -20 + 0 -11 + -3k = -20 Add '11' to each side of the equation. -11 + 11 + -3k = -20 + 11 Combine like terms: -11 + 11 = 0 0 + -3k = -20 + 11 -3k = -20 + 11 Combine like terms: -20 + 11 = -9 -3k = -9 Divide each side by '-3'. k = 3 Simplifying k = 3
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