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Simplifying -5(-13k + 3) = 2(17k + -16) + 14k Reorder the terms: -5(3 + -13k) = 2(17k + -16) + 14k (3 * -5 + -13k * -5) = 2(17k + -16) + 14k (-15 + 65k) = 2(17k + -16) + 14k Reorder the terms: -15 + 65k = 2(-16 + 17k) + 14k -15 + 65k = (-16 * 2 + 17k * 2) + 14k -15 + 65k = (-32 + 34k) + 14k Combine like terms: 34k + 14k = 48k -15 + 65k = -32 + 48k Solving -15 + 65k = -32 + 48k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-48k' to each side of the equation. -15 + 65k + -48k = -32 + 48k + -48k Combine like terms: 65k + -48k = 17k -15 + 17k = -32 + 48k + -48k Combine like terms: 48k + -48k = 0 -15 + 17k = -32 + 0 -15 + 17k = -32 Add '15' to each side of the equation. -15 + 15 + 17k = -32 + 15 Combine like terms: -15 + 15 = 0 0 + 17k = -32 + 15 17k = -32 + 15 Combine like terms: -32 + 15 = -17 17k = -17 Divide each side by '17'. k = -1 Simplifying k = -1
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