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Simplifying 22 + -6k = 2k + -7(b + 1) Reorder the terms: 22 + -6k = 2k + -7(1 + b) 22 + -6k = 2k + (1 * -7 + b * -7) 22 + -6k = 2k + (-7 + -7b) Reorder the terms: 22 + -6k = -7 + -7b + 2k Solving 22 + -6k = -7 + -7b + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 22 + -6k + -2k = -7 + -7b + 2k + -2k Combine like terms: -6k + -2k = -8k 22 + -8k = -7 + -7b + 2k + -2k Combine like terms: 2k + -2k = 0 22 + -8k = -7 + -7b + 0 22 + -8k = -7 + -7b Add '-22' to each side of the equation. 22 + -22 + -8k = -7 + -22 + -7b Combine like terms: 22 + -22 = 0 0 + -8k = -7 + -22 + -7b -8k = -7 + -22 + -7b Combine like terms: -7 + -22 = -29 -8k = -29 + -7b Divide each side by '-8'. k = 3.625 + 0.875b Simplifying k = 3.625 + 0.875b
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