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Simplifying 6(k + -3) + -5(k + 2) + -10 = 0 Reorder the terms: 6(-3 + k) + -5(k + 2) + -10 = 0 (-3 * 6 + k * 6) + -5(k + 2) + -10 = 0 (-18 + 6k) + -5(k + 2) + -10 = 0 Reorder the terms: -18 + 6k + -5(2 + k) + -10 = 0 -18 + 6k + (2 * -5 + k * -5) + -10 = 0 -18 + 6k + (-10 + -5k) + -10 = 0 Reorder the terms: -18 + -10 + -10 + 6k + -5k = 0 Combine like terms: -18 + -10 = -28 -28 + -10 + 6k + -5k = 0 Combine like terms: -28 + -10 = -38 -38 + 6k + -5k = 0 Combine like terms: 6k + -5k = 1k -38 + 1k = 0 Solving -38 + 1k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 1k = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 1k = 0 + 38 1k = 0 + 38 Combine like terms: 0 + 38 = 38 1k = 38 Divide each side by '1'. k = 38 Simplifying k = 38
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