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Simplifying 5(4a + -3b) + 4(2a + -2b) = c (4a * 5 + -3b * 5) + 4(2a + -2b) = c (20a + -15b) + 4(2a + -2b) = c 20a + -15b + (2a * 4 + -2b * 4) = c 20a + -15b + (8a + -8b) = c Reorder the terms: 20a + 8a + -15b + -8b = c Combine like terms: 20a + 8a = 28a 28a + -15b + -8b = c Combine like terms: -15b + -8b = -23b 28a + -23b = c Solving 28a + -23b = c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '23b' to each side of the equation. 28a + -23b + 23b = 23b + c Combine like terms: -23b + 23b = 0 28a + 0 = 23b + c 28a = 23b + c Divide each side by '28'. a = 0.8214285714b + 0.03571428571c Simplifying a = 0.8214285714b + 0.03571428571c
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