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Simplifying 6(k + -4) + -8 = 9k + 7 Reorder the terms: 6(-4 + k) + -8 = 9k + 7 (-4 * 6 + k * 6) + -8 = 9k + 7 (-24 + 6k) + -8 = 9k + 7 Reorder the terms: -24 + -8 + 6k = 9k + 7 Combine like terms: -24 + -8 = -32 -32 + 6k = 9k + 7 Reorder the terms: -32 + 6k = 7 + 9k Solving -32 + 6k = 7 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. -32 + 6k + -9k = 7 + 9k + -9k Combine like terms: 6k + -9k = -3k -32 + -3k = 7 + 9k + -9k Combine like terms: 9k + -9k = 0 -32 + -3k = 7 + 0 -32 + -3k = 7 Add '32' to each side of the equation. -32 + 32 + -3k = 7 + 32 Combine like terms: -32 + 32 = 0 0 + -3k = 7 + 32 -3k = 7 + 32 Combine like terms: 7 + 32 = 39 -3k = 39 Divide each side by '-3'. k = -13 Simplifying k = -13
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