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Simplifying 4(k + 3) + -3(k + -7) = 0 Reorder the terms: 4(3 + k) + -3(k + -7) = 0 (3 * 4 + k * 4) + -3(k + -7) = 0 (12 + 4k) + -3(k + -7) = 0 Reorder the terms: 12 + 4k + -3(-7 + k) = 0 12 + 4k + (-7 * -3 + k * -3) = 0 12 + 4k + (21 + -3k) = 0 Reorder the terms: 12 + 21 + 4k + -3k = 0 Combine like terms: 12 + 21 = 33 33 + 4k + -3k = 0 Combine like terms: 4k + -3k = 1k 33 + 1k = 0 Solving 33 + 1k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 1k = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 1k = 0 + -33 1k = 0 + -33 Combine like terms: 0 + -33 = -33 1k = -33 Divide each side by '1'. k = -33 Simplifying k = -33
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