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Simplifying 7(k + -3) + 4(k + -2) = 0 Reorder the terms: 7(-3 + k) + 4(k + -2) = 0 (-3 * 7 + k * 7) + 4(k + -2) = 0 (-21 + 7k) + 4(k + -2) = 0 Reorder the terms: -21 + 7k + 4(-2 + k) = 0 -21 + 7k + (-2 * 4 + k * 4) = 0 -21 + 7k + (-8 + 4k) = 0 Reorder the terms: -21 + -8 + 7k + 4k = 0 Combine like terms: -21 + -8 = -29 -29 + 7k + 4k = 0 Combine like terms: 7k + 4k = 11k -29 + 11k = 0 Solving -29 + 11k = 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 + 11k = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 11k = 0 + 29 11k = 0 + 29 Combine like terms: 0 + 29 = 29 11k = 29 Divide each side by '11'. k = 2.636363636 Simplifying k = 2.636363636
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