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Simplifying -3(4 + 3k) = -3k + -30 (4 * -3 + 3k * -3) = -3k + -30 (-12 + -9k) = -3k + -30 Reorder the terms: -12 + -9k = -30 + -3k Solving -12 + -9k = -30 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -12 + -9k + 3k = -30 + -3k + 3k Combine like terms: -9k + 3k = -6k -12 + -6k = -30 + -3k + 3k Combine like terms: -3k + 3k = 0 -12 + -6k = -30 + 0 -12 + -6k = -30 Add '12' to each side of the equation. -12 + 12 + -6k = -30 + 12 Combine like terms: -12 + 12 = 0 0 + -6k = -30 + 12 -6k = -30 + 12 Combine like terms: -30 + 12 = -18 -6k = -18 Divide each side by '-6'. k = 3 Simplifying k = 3
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