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Simplifying 4(k + -3) = -6(-2k + 2) Reorder the terms: 4(-3 + k) = -6(-2k + 2) (-3 * 4 + k * 4) = -6(-2k + 2) (-12 + 4k) = -6(-2k + 2) Reorder the terms: -12 + 4k = -6(2 + -2k) -12 + 4k = (2 * -6 + -2k * -6) -12 + 4k = (-12 + 12k) Add '12' to each side of the equation. -12 + 12 + 4k = -12 + 12 + 12k Combine like terms: -12 + 12 = 0 0 + 4k = -12 + 12 + 12k 4k = -12 + 12 + 12k Combine like terms: -12 + 12 = 0 4k = 0 + 12k 4k = 12k Solving 4k = 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. 4k + -12k = 12k + -12k Combine like terms: 4k + -12k = -8k -8k = 12k + -12k Combine like terms: 12k + -12k = 0 -8k = 0 Divide each side by '-8'. k = 0 Simplifying k = 0
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