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Simplifying 38 + 7 = 8(k + 4) Combine like terms: 38 + 7 = 45 45 = 8(k + 4) Reorder the terms: 45 = 8(4 + k) 45 = (4 * 8 + k * 8) 45 = (32 + 8k) Solving 45 = 32 + 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. 45 + -8k = 32 + 8k + -8k Combine like terms: 8k + -8k = 0 45 + -8k = 32 + 0 45 + -8k = 32 Add '-45' to each side of the equation. 45 + -45 + -8k = 32 + -45 Combine like terms: 45 + -45 = 0 0 + -8k = 32 + -45 -8k = 32 + -45 Combine like terms: 32 + -45 = -13 -8k = -13 Divide each side by '-8'. k = 1.625 Simplifying k = 1.625
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