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Simplifying 4(k + -1) + -2(3k + 2) + 14 = 0 Reorder the terms: 4(-1 + k) + -2(3k + 2) + 14 = 0 (-1 * 4 + k * 4) + -2(3k + 2) + 14 = 0 (-4 + 4k) + -2(3k + 2) + 14 = 0 Reorder the terms: -4 + 4k + -2(2 + 3k) + 14 = 0 -4 + 4k + (2 * -2 + 3k * -2) + 14 = 0 -4 + 4k + (-4 + -6k) + 14 = 0 Reorder the terms: -4 + -4 + 14 + 4k + -6k = 0 Combine like terms: -4 + -4 = -8 -8 + 14 + 4k + -6k = 0 Combine like terms: -8 + 14 = 6 6 + 4k + -6k = 0 Combine like terms: 4k + -6k = -2k 6 + -2k = 0 Solving 6 + -2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -2k = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -2k = 0 + -6 -2k = 0 + -6 Combine like terms: 0 + -6 = -6 -2k = -6 Divide each side by '-2'. k = 3 Simplifying k = 3
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