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Simplifying k + -9 = 6(k + -2) Reorder the terms: -9 + k = 6(k + -2) Reorder the terms: -9 + k = 6(-2 + k) -9 + k = (-2 * 6 + k * 6) -9 + k = (-12 + 6k) Solving -9 + k = -12 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -9 + k + -6k = -12 + 6k + -6k Combine like terms: k + -6k = -5k -9 + -5k = -12 + 6k + -6k Combine like terms: 6k + -6k = 0 -9 + -5k = -12 + 0 -9 + -5k = -12 Add '9' to each side of the equation. -9 + 9 + -5k = -12 + 9 Combine like terms: -9 + 9 = 0 0 + -5k = -12 + 9 -5k = -12 + 9 Combine like terms: -12 + 9 = -3 -5k = -3 Divide each side by '-5'. k = 0.6 Simplifying k = 0.6
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