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Simplifying 4(k + -3) + -4 = -22 + 5k Reorder the terms: 4(-3 + k) + -4 = -22 + 5k (-3 * 4 + k * 4) + -4 = -22 + 5k (-12 + 4k) + -4 = -22 + 5k Reorder the terms: -12 + -4 + 4k = -22 + 5k Combine like terms: -12 + -4 = -16 -16 + 4k = -22 + 5k Solving -16 + 4k = -22 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -16 + 4k + -5k = -22 + 5k + -5k Combine like terms: 4k + -5k = -1k -16 + -1k = -22 + 5k + -5k Combine like terms: 5k + -5k = 0 -16 + -1k = -22 + 0 -16 + -1k = -22 Add '16' to each side of the equation. -16 + 16 + -1k = -22 + 16 Combine like terms: -16 + 16 = 0 0 + -1k = -22 + 16 -1k = -22 + 16 Combine like terms: -22 + 16 = -6 -1k = -6 Divide each side by '-1'. k = 6 Simplifying k = 6
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