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Simplifying -5(a + 2k) + -8(-4 + 5k) = 0 (a * -5 + 2k * -5) + -8(-4 + 5k) = 0 (-5a + -10k) + -8(-4 + 5k) = 0 -5a + -10k + (-4 * -8 + 5k * -8) = 0 -5a + -10k + (32 + -40k) = 0 Reorder the terms: 32 + -5a + -10k + -40k = 0 Combine like terms: -10k + -40k = -50k 32 + -5a + -50k = 0 Solving 32 + -5a + -50k = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -5a + -32 + -50k = 0 + -32 Reorder the terms: 32 + -32 + -5a + -50k = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -5a + -50k = 0 + -32 -5a + -50k = 0 + -32 Combine like terms: 0 + -32 = -32 -5a + -50k = -32 Add '50k' to each side of the equation. -5a + -50k + 50k = -32 + 50k Combine like terms: -50k + 50k = 0 -5a + 0 = -32 + 50k -5a = -32 + 50k Divide each side by '-5'. a = 6.4 + -10k Simplifying a = 6.4 + -10k
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