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Simplifying -22 + 5k = 8(9k + -2) Reorder the terms: -22 + 5k = 8(-2 + 9k) -22 + 5k = (-2 * 8 + 9k * 8) -22 + 5k = (-16 + 72k) Solving -22 + 5k = -16 + 72k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-72k' to each side of the equation. -22 + 5k + -72k = -16 + 72k + -72k Combine like terms: 5k + -72k = -67k -22 + -67k = -16 + 72k + -72k Combine like terms: 72k + -72k = 0 -22 + -67k = -16 + 0 -22 + -67k = -16 Add '22' to each side of the equation. -22 + 22 + -67k = -16 + 22 Combine like terms: -22 + 22 = 0 0 + -67k = -16 + 22 -67k = -16 + 22 Combine like terms: -16 + 22 = 6 -67k = 6 Divide each side by '-67'. k = -0.08955223881 Simplifying k = -0.08955223881
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