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Simplifying 3(2k + -5) + -4(k + -7) = 0 Reorder the terms: 3(-5 + 2k) + -4(k + -7) = 0 (-5 * 3 + 2k * 3) + -4(k + -7) = 0 (-15 + 6k) + -4(k + -7) = 0 Reorder the terms: -15 + 6k + -4(-7 + k) = 0 -15 + 6k + (-7 * -4 + k * -4) = 0 -15 + 6k + (28 + -4k) = 0 Reorder the terms: -15 + 28 + 6k + -4k = 0 Combine like terms: -15 + 28 = 13 13 + 6k + -4k = 0 Combine like terms: 6k + -4k = 2k 13 + 2k = 0 Solving 13 + 2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 2k = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 2k = 0 + -13 2k = 0 + -13 Combine like terms: 0 + -13 = -13 2k = -13 Divide each side by '2'. k = -6.5 Simplifying k = -6.5
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