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Simplifying -11(3 + -4k) + -1k = -12(-2k + -2) (3 * -11 + -4k * -11) + -1k = -12(-2k + -2) (-33 + 44k) + -1k = -12(-2k + -2) Combine like terms: 44k + -1k = 43k -33 + 43k = -12(-2k + -2) Reorder the terms: -33 + 43k = -12(-2 + -2k) -33 + 43k = (-2 * -12 + -2k * -12) -33 + 43k = (24 + 24k) Solving -33 + 43k = 24 + 24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-24k' to each side of the equation. -33 + 43k + -24k = 24 + 24k + -24k Combine like terms: 43k + -24k = 19k -33 + 19k = 24 + 24k + -24k Combine like terms: 24k + -24k = 0 -33 + 19k = 24 + 0 -33 + 19k = 24 Add '33' to each side of the equation. -33 + 33 + 19k = 24 + 33 Combine like terms: -33 + 33 = 0 0 + 19k = 24 + 33 19k = 24 + 33 Combine like terms: 24 + 33 = 57 19k = 57 Divide each side by '19'. k = 3 Simplifying k = 3
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