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Simplifying 4(3q + 2) + 3(4k + 7) = 0 Reorder the terms: 4(2 + 3q) + 3(4k + 7) = 0 (2 * 4 + 3q * 4) + 3(4k + 7) = 0 (8 + 12q) + 3(4k + 7) = 0 Reorder the terms: 8 + 12q + 3(7 + 4k) = 0 8 + 12q + (7 * 3 + 4k * 3) = 0 8 + 12q + (21 + 12k) = 0 Reorder the terms: 8 + 21 + 12k + 12q = 0 Combine like terms: 8 + 21 = 29 29 + 12k + 12q = 0 Solving 29 + 12k + 12q = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + 12k + -29 + 12q = 0 + -29 Reorder the terms: 29 + -29 + 12k + 12q = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 12k + 12q = 0 + -29 12k + 12q = 0 + -29 Combine like terms: 0 + -29 = -29 12k + 12q = -29 Add '-12q' to each side of the equation. 12k + 12q + -12q = -29 + -12q Combine like terms: 12q + -12q = 0 12k + 0 = -29 + -12q 12k = -29 + -12q Divide each side by '12'. k = -2.416666667 + -1q Simplifying k = -2.416666667 + -1q
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