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Simplifying (2k + -2) = -2(4k + -11) Reorder the terms: (-2 + 2k) = -2(4k + -11) Remove parenthesis around (-2 + 2k) -2 + 2k = -2(4k + -11) Reorder the terms: -2 + 2k = -2(-11 + 4k) -2 + 2k = (-11 * -2 + 4k * -2) -2 + 2k = (22 + -8k) Solving -2 + 2k = 22 + -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. -2 + 2k + 8k = 22 + -8k + 8k Combine like terms: 2k + 8k = 10k -2 + 10k = 22 + -8k + 8k Combine like terms: -8k + 8k = 0 -2 + 10k = 22 + 0 -2 + 10k = 22 Add '2' to each side of the equation. -2 + 2 + 10k = 22 + 2 Combine like terms: -2 + 2 = 0 0 + 10k = 22 + 2 10k = 22 + 2 Combine like terms: 22 + 2 = 24 10k = 24 Divide each side by '10'. k = 2.4 Simplifying k = 2.4
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