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Simplifying 22k + -22 = -4(1 + -6k) Reorder the terms: -22 + 22k = -4(1 + -6k) -22 + 22k = (1 * -4 + -6k * -4) -22 + 22k = (-4 + 24k) Solving -22 + 22k = -4 + 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. -22 + 22k + -24k = -4 + 24k + -24k Combine like terms: 22k + -24k = -2k -22 + -2k = -4 + 24k + -24k Combine like terms: 24k + -24k = 0 -22 + -2k = -4 + 0 -22 + -2k = -4 Add '22' to each side of the equation. -22 + 22 + -2k = -4 + 22 Combine like terms: -22 + 22 = 0 0 + -2k = -4 + 22 -2k = -4 + 22 Combine like terms: -4 + 22 = 18 -2k = 18 Divide each side by '-2'. k = -9 Simplifying k = -9
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