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Simplifying 4(k + -4) + -3(k + 2) + -14 = -29 Reorder the terms: 4(-4 + k) + -3(k + 2) + -14 = -29 (-4 * 4 + k * 4) + -3(k + 2) + -14 = -29 (-16 + 4k) + -3(k + 2) + -14 = -29 Reorder the terms: -16 + 4k + -3(2 + k) + -14 = -29 -16 + 4k + (2 * -3 + k * -3) + -14 = -29 -16 + 4k + (-6 + -3k) + -14 = -29 Reorder the terms: -16 + -6 + -14 + 4k + -3k = -29 Combine like terms: -16 + -6 = -22 -22 + -14 + 4k + -3k = -29 Combine like terms: -22 + -14 = -36 -36 + 4k + -3k = -29 Combine like terms: 4k + -3k = 1k -36 + 1k = -29 Solving -36 + 1k = -29 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 1k = -29 + 36 Combine like terms: -36 + 36 = 0 0 + 1k = -29 + 36 1k = -29 + 36 Combine like terms: -29 + 36 = 7 1k = 7 Divide each side by '1'. k = 7 Simplifying k = 7
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