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Simplifying 3(5k + -3) + -4(k + 4) = 0 Reorder the terms: 3(-3 + 5k) + -4(k + 4) = 0 (-3 * 3 + 5k * 3) + -4(k + 4) = 0 (-9 + 15k) + -4(k + 4) = 0 Reorder the terms: -9 + 15k + -4(4 + k) = 0 -9 + 15k + (4 * -4 + k * -4) = 0 -9 + 15k + (-16 + -4k) = 0 Reorder the terms: -9 + -16 + 15k + -4k = 0 Combine like terms: -9 + -16 = -25 -25 + 15k + -4k = 0 Combine like terms: 15k + -4k = 11k -25 + 11k = 0 Solving -25 + 11k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 11k = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 11k = 0 + 25 11k = 0 + 25 Combine like terms: 0 + 25 = 25 11k = 25 Divide each side by '11'. k = 2.272727273 Simplifying k = 2.272727273
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