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Simplifying 3(5k + -6) + -2(2k + -1) = 0 Reorder the terms: 3(-6 + 5k) + -2(2k + -1) = 0 (-6 * 3 + 5k * 3) + -2(2k + -1) = 0 (-18 + 15k) + -2(2k + -1) = 0 Reorder the terms: -18 + 15k + -2(-1 + 2k) = 0 -18 + 15k + (-1 * -2 + 2k * -2) = 0 -18 + 15k + (2 + -4k) = 0 Reorder the terms: -18 + 2 + 15k + -4k = 0 Combine like terms: -18 + 2 = -16 -16 + 15k + -4k = 0 Combine like terms: 15k + -4k = 11k -16 + 11k = 0 Solving -16 + 11k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 11k = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 11k = 0 + 16 11k = 0 + 16 Combine like terms: 0 + 16 = 16 11k = 16 Divide each side by '11'. k = 1.454545455 Simplifying k = 1.454545455
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