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Simplifying 2k + -32 = -2(6 + -3k) Reorder the terms: -32 + 2k = -2(6 + -3k) -32 + 2k = (6 * -2 + -3k * -2) -32 + 2k = (-12 + 6k) Solving -32 + 2k = -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. -32 + 2k + -6k = -12 + 6k + -6k Combine like terms: 2k + -6k = -4k -32 + -4k = -12 + 6k + -6k Combine like terms: 6k + -6k = 0 -32 + -4k = -12 + 0 -32 + -4k = -12 Add '32' to each side of the equation. -32 + 32 + -4k = -12 + 32 Combine like terms: -32 + 32 = 0 0 + -4k = -12 + 32 -4k = -12 + 32 Combine like terms: -12 + 32 = 20 -4k = 20 Divide each side by '-4'. k = -5 Simplifying k = -5
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