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Simplifying 4(k + 5) + -7 = 61 Reorder the terms: 4(5 + k) + -7 = 61 (5 * 4 + k * 4) + -7 = 61 (20 + 4k) + -7 = 61 Reorder the terms: 20 + -7 + 4k = 61 Combine like terms: 20 + -7 = 13 13 + 4k = 61 Solving 13 + 4k = 61 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 4k = 61 + -13 Combine like terms: 13 + -13 = 0 0 + 4k = 61 + -13 4k = 61 + -13 Combine like terms: 61 + -13 = 48 4k = 48 Divide each side by '4'. k = 12 Simplifying k = 12
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