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Simplifying 3(5k + -7) + -2(k + 4) = 0 Reorder the terms: 3(-7 + 5k) + -2(k + 4) = 0 (-7 * 3 + 5k * 3) + -2(k + 4) = 0 (-21 + 15k) + -2(k + 4) = 0 Reorder the terms: -21 + 15k + -2(4 + k) = 0 -21 + 15k + (4 * -2 + k * -2) = 0 -21 + 15k + (-8 + -2k) = 0 Reorder the terms: -21 + -8 + 15k + -2k = 0 Combine like terms: -21 + -8 = -29 -29 + 15k + -2k = 0 Combine like terms: 15k + -2k = 13k -29 + 13k = 0 Solving -29 + 13k = 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 + 13k = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 13k = 0 + 29 13k = 0 + 29 Combine like terms: 0 + 29 = 29 13k = 29 Divide each side by '13'. k = 2.230769231 Simplifying k = 2.230769231
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