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Simplifying -21 + -8a = -1 + 6(4k + 5) Reorder the terms: -21 + -8a = -1 + 6(5 + 4k) -21 + -8a = -1 + (5 * 6 + 4k * 6) -21 + -8a = -1 + (30 + 24k) Combine like terms: -1 + 30 = 29 -21 + -8a = 29 + 24k Solving -21 + -8a = 29 + 24k Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -8a = 29 + 21 + 24k Combine like terms: -21 + 21 = 0 0 + -8a = 29 + 21 + 24k -8a = 29 + 21 + 24k Combine like terms: 29 + 21 = 50 -8a = 50 + 24k Divide each side by '-8'. a = -6.25 + -3k Simplifying a = -6.25 + -3k
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