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Simplifying 15 + 4k = 7(3k + -6) Reorder the terms: 15 + 4k = 7(-6 + 3k) 15 + 4k = (-6 * 7 + 3k * 7) 15 + 4k = (-42 + 21k) Solving 15 + 4k = -42 + 21k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-21k' to each side of the equation. 15 + 4k + -21k = -42 + 21k + -21k Combine like terms: 4k + -21k = -17k 15 + -17k = -42 + 21k + -21k Combine like terms: 21k + -21k = 0 15 + -17k = -42 + 0 15 + -17k = -42 Add '-15' to each side of the equation. 15 + -15 + -17k = -42 + -15 Combine like terms: 15 + -15 = 0 0 + -17k = -42 + -15 -17k = -42 + -15 Combine like terms: -42 + -15 = -57 -17k = -57 Divide each side by '-17'. k = 3.352941176 Simplifying k = 3.352941176
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