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Simplifying 29 = 4(2k + -6) Reorder the terms: 29 = 4(-6 + 2k) 29 = (-6 * 4 + 2k * 4) 29 = (-24 + 8k) Solving 29 = -24 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 29 + -8k = -24 + 8k + -8k Combine like terms: 8k + -8k = 0 29 + -8k = -24 + 0 29 + -8k = -24 Add '-29' to each side of the equation. 29 + -29 + -8k = -24 + -29 Combine like terms: 29 + -29 = 0 0 + -8k = -24 + -29 -8k = -24 + -29 Combine like terms: -24 + -29 = -53 -8k = -53 Divide each side by '-8'. k = 6.625 Simplifying k = 6.625
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