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Simplifying 3(-4 + 5k) + -6k = -84 (-4 * 3 + 5k * 3) + -6k = -84 (-12 + 15k) + -6k = -84 Combine like terms: 15k + -6k = 9k -12 + 9k = -84 Solving -12 + 9k = -84 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 9k = -84 + 12 Combine like terms: -12 + 12 = 0 0 + 9k = -84 + 12 9k = -84 + 12 Combine like terms: -84 + 12 = -72 9k = -72 Divide each side by '9'. k = -8 Simplifying k = -8
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