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Simplifying -68 = -8(4k + -6) + 3k Reorder the terms: -68 = -8(-6 + 4k) + 3k -68 = (-6 * -8 + 4k * -8) + 3k -68 = (48 + -32k) + 3k Combine like terms: -32k + 3k = -29k -68 = 48 + -29k Solving -68 = 48 + -29k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '29k' to each side of the equation. -68 + 29k = 48 + -29k + 29k Combine like terms: -29k + 29k = 0 -68 + 29k = 48 + 0 -68 + 29k = 48 Add '68' to each side of the equation. -68 + 68 + 29k = 48 + 68 Combine like terms: -68 + 68 = 0 0 + 29k = 48 + 68 29k = 48 + 68 Combine like terms: 48 + 68 = 116 29k = 116 Divide each side by '29'. k = 4 Simplifying k = 4
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