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Simplifying 7(3k + -4) + 14k = 147 Reorder the terms: 7(-4 + 3k) + 14k = 147 (-4 * 7 + 3k * 7) + 14k = 147 (-28 + 21k) + 14k = 147 Combine like terms: 21k + 14k = 35k -28 + 35k = 147 Solving -28 + 35k = 147 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 35k = 147 + 28 Combine like terms: -28 + 28 = 0 0 + 35k = 147 + 28 35k = 147 + 28 Combine like terms: 147 + 28 = 175 35k = 175 Divide each side by '35'. k = 5 Simplifying k = 5
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