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Simplifying 6(k + -8) + -1(5k + 6) = -9 Reorder the terms: 6(-8 + k) + -1(5k + 6) = -9 (-8 * 6 + k * 6) + -1(5k + 6) = -9 (-48 + 6k) + -1(5k + 6) = -9 Reorder the terms: -48 + 6k + -1(6 + 5k) = -9 -48 + 6k + (6 * -1 + 5k * -1) = -9 -48 + 6k + (-6 + -5k) = -9 Reorder the terms: -48 + -6 + 6k + -5k = -9 Combine like terms: -48 + -6 = -54 -54 + 6k + -5k = -9 Combine like terms: 6k + -5k = 1k -54 + 1k = -9 Solving -54 + 1k = -9 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + 1k = -9 + 54 Combine like terms: -54 + 54 = 0 0 + 1k = -9 + 54 1k = -9 + 54 Combine like terms: -9 + 54 = 45 1k = 45 Divide each side by '1'. k = 45 Simplifying k = 45
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