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Simplifying -40 = 4(7a + 5) + -8a Reorder the terms: -40 = 4(5 + 7a) + -8a -40 = (5 * 4 + 7a * 4) + -8a -40 = (20 + 28a) + -8a Combine like terms: 28a + -8a = 20a -40 = 20 + 20a Solving -40 = 20 + 20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20a' to each side of the equation. -40 + -20a = 20 + 20a + -20a Combine like terms: 20a + -20a = 0 -40 + -20a = 20 + 0 -40 + -20a = 20 Add '40' to each side of the equation. -40 + 40 + -20a = 20 + 40 Combine like terms: -40 + 40 = 0 0 + -20a = 20 + 40 -20a = 20 + 40 Combine like terms: 20 + 40 = 60 -20a = 60 Divide each side by '-20'. a = -3 Simplifying a = -3
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