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Simplifying 4(7a + -5) = 8(6a + 5) Reorder the terms: 4(-5 + 7a) = 8(6a + 5) (-5 * 4 + 7a * 4) = 8(6a + 5) (-20 + 28a) = 8(6a + 5) Reorder the terms: -20 + 28a = 8(5 + 6a) -20 + 28a = (5 * 8 + 6a * 8) -20 + 28a = (40 + 48a) Solving -20 + 28a = 40 + 48a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-48a' to each side of the equation. -20 + 28a + -48a = 40 + 48a + -48a Combine like terms: 28a + -48a = -20a -20 + -20a = 40 + 48a + -48a Combine like terms: 48a + -48a = 0 -20 + -20a = 40 + 0 -20 + -20a = 40 Add '20' to each side of the equation. -20 + 20 + -20a = 40 + 20 Combine like terms: -20 + 20 = 0 0 + -20a = 40 + 20 -20a = 40 + 20 Combine like terms: 40 + 20 = 60 -20a = 60 Divide each side by '-20'. a = -3 Simplifying a = -3
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