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Simplifying 6k + -8k = -6(1 + l) + 2(4k + -5) Combine like terms: 6k + -8k = -2k -2k = -6(1 + l) + 2(4k + -5) -2k = (1 * -6 + l * -6) + 2(4k + -5) -2k = (-6 + -6l) + 2(4k + -5) Reorder the terms: -2k = -6 + -6l + 2(-5 + 4k) -2k = -6 + -6l + (-5 * 2 + 4k * 2) -2k = -6 + -6l + (-10 + 8k) Reorder the terms: -2k = -6 + -10 + 8k + -6l Combine like terms: -6 + -10 = -16 -2k = -16 + 8k + -6l Solving -2k = -16 + 8k + -6l Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. -2k + -8k = -16 + 8k + -8k + -6l Combine like terms: -2k + -8k = -10k -10k = -16 + 8k + -8k + -6l Combine like terms: 8k + -8k = 0 -10k = -16 + 0 + -6l -10k = -16 + -6l Divide each side by '-10'. k = 1.6 + 0.6l Simplifying k = 1.6 + 0.6l
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