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Simplifying -3(5k + -3) + -4(4k + -5) = 0 Reorder the terms: -3(-3 + 5k) + -4(4k + -5) = 0 (-3 * -3 + 5k * -3) + -4(4k + -5) = 0 (9 + -15k) + -4(4k + -5) = 0 Reorder the terms: 9 + -15k + -4(-5 + 4k) = 0 9 + -15k + (-5 * -4 + 4k * -4) = 0 9 + -15k + (20 + -16k) = 0 Reorder the terms: 9 + 20 + -15k + -16k = 0 Combine like terms: 9 + 20 = 29 29 + -15k + -16k = 0 Combine like terms: -15k + -16k = -31k 29 + -31k = 0 Solving 29 + -31k = 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 + -29 + -31k = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -31k = 0 + -29 -31k = 0 + -29 Combine like terms: 0 + -29 = -29 -31k = -29 Divide each side by '-31'. k = 0.935483871 Simplifying k = 0.935483871
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