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Simplifying K + -3 + 4(-4) = 2K + 12 Multiply 4 * -4 K + -3 + -16 = 2K + 12 Reorder the terms: -3 + -16 + K = 2K + 12 Combine like terms: -3 + -16 = -19 -19 + K = 2K + 12 Reorder the terms: -19 + K = 12 + 2K Solving -19 + K = 12 + 2K Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-2K' to each side of the equation. -19 + K + -2K = 12 + 2K + -2K Combine like terms: K + -2K = -1K -19 + -1K = 12 + 2K + -2K Combine like terms: 2K + -2K = 0 -19 + -1K = 12 + 0 -19 + -1K = 12 Add '19' to each side of the equation. -19 + 19 + -1K = 12 + 19 Combine like terms: -19 + 19 = 0 0 + -1K = 12 + 19 -1K = 12 + 19 Combine like terms: 12 + 19 = 31 -1K = 31 Divide each side by '-1'. K = -31 Simplifying K = -31
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