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Simplifying 12(-2k + -2) + k = 5 + -1(-3) Reorder the terms: 12(-2 + -2k) + k = 5 + -1(-3) (-2 * 12 + -2k * 12) + k = 5 + -1(-3) (-24 + -24k) + k = 5 + -1(-3) Combine like terms: -24k + k = -23k -24 + -23k = 5 + -1(-3) Multiply -1 * -3 -24 + -23k = 5 + 3 Combine like terms: 5 + 3 = 8 -24 + -23k = 8 Solving -24 + -23k = 8 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -23k = 8 + 24 Combine like terms: -24 + 24 = 0 0 + -23k = 8 + 24 -23k = 8 + 24 Combine like terms: 8 + 24 = 32 -23k = 32 Divide each side by '-23'. k = -1.391304348 Simplifying k = -1.391304348
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