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Simplifying 29 = -5 + 2(2k + 3) Reorder the terms: 29 = -5 + 2(3 + 2k) 29 = -5 + (3 * 2 + 2k * 2) 29 = -5 + (6 + 4k) Combine like terms: -5 + 6 = 1 29 = 1 + 4k Solving 29 = 1 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 29 + -4k = 1 + 4k + -4k Combine like terms: 4k + -4k = 0 29 + -4k = 1 + 0 29 + -4k = 1 Add '-29' to each side of the equation. 29 + -29 + -4k = 1 + -29 Combine like terms: 29 + -29 = 0 0 + -4k = 1 + -29 -4k = 1 + -29 Combine like terms: 1 + -29 = -28 -4k = -28 Divide each side by '-4'. k = 7 Simplifying k = 7
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