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Simplifying (4k + 3) + -3(k + -7) = 0 Reorder the terms: (3 + 4k) + -3(k + -7) = 0 Remove parenthesis around (3 + 4k) 3 + 4k + -3(k + -7) = 0 Reorder the terms: 3 + 4k + -3(-7 + k) = 0 3 + 4k + (-7 * -3 + k * -3) = 0 3 + 4k + (21 + -3k) = 0 Reorder the terms: 3 + 21 + 4k + -3k = 0 Combine like terms: 3 + 21 = 24 24 + 4k + -3k = 0 Combine like terms: 4k + -3k = 1k 24 + 1k = 0 Solving 24 + 1k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 1k = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 1k = 0 + -24 1k = 0 + -24 Combine like terms: 0 + -24 = -24 1k = -24 Divide each side by '1'. k = -24 Simplifying k = -24
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