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