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Simplifying 3(k + -3) + -6 = 6K + -1(5k + -1) Reorder the terms: 3(-3 + k) + -6 = 6K + -1(5k + -1) (-3 * 3 + k * 3) + -6 = 6K + -1(5k + -1) (-9 + 3k) + -6 = 6K + -1(5k + -1) Reorder the terms: -9 + -6 + 3k = 6K + -1(5k + -1) Combine like terms: -9 + -6 = -15 -15 + 3k = 6K + -1(5k + -1) Reorder the terms: -15 + 3k = 6K + -1(-1 + 5k) -15 + 3k = 6K + (-1 * -1 + 5k * -1) -15 + 3k = 6K + (1 + -5k) Reorder the terms: -15 + 3k = 1 + 6K + -5k Solving -15 + 3k = 1 + 6K + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -15 + 3k + 5k = 1 + 6K + -5k + 5k Combine like terms: 3k + 5k = 8k -15 + 8k = 1 + 6K + -5k + 5k Combine like terms: -5k + 5k = 0 -15 + 8k = 1 + 6K + 0 -15 + 8k = 1 + 6K Add '15' to each side of the equation. -15 + 15 + 8k = 1 + 15 + 6K Combine like terms: -15 + 15 = 0 0 + 8k = 1 + 15 + 6K 8k = 1 + 15 + 6K Combine like terms: 1 + 15 = 16 8k = 16 + 6K Divide each side by '8'. k = 2 + 0.75K Simplifying k = 2 + 0.75K
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