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Simplifying 4(3x + 7) = 12x + K Reorder the terms: 4(7 + 3x) = 12x + K (7 * 4 + 3x * 4) = 12x + K (28 + 12x) = 12x + K Reorder the terms: 28 + 12x = K + 12x Add '-12x' to each side of the equation. 28 + 12x + -12x = K + 12x + -12x Combine like terms: 12x + -12x = 0 28 + 0 = K + 12x + -12x 28 = K + 12x + -12x Combine like terms: 12x + -12x = 0 28 = K + 0 28 = K Solving 28 = K Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-1K' to each side of the equation. 28 + -1K = K + -1K Combine like terms: K + -1K = 0 28 + -1K = 0 Add '-28' to each side of the equation. 28 + -28 + -1K = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -1K = 0 + -28 -1K = 0 + -28 Combine like terms: 0 + -28 = -28 -1K = -28 Divide each side by '-1'. K = 28 Simplifying K = 28
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