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Simplifying 32 + -8a = -8(2 + -5a) 32 + -8a = (2 * -8 + -5a * -8) 32 + -8a = (-16 + 40a) Solving 32 + -8a = -16 + 40a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-40a' to each side of the equation. 32 + -8a + -40a = -16 + 40a + -40a Combine like terms: -8a + -40a = -48a 32 + -48a = -16 + 40a + -40a Combine like terms: 40a + -40a = 0 32 + -48a = -16 + 0 32 + -48a = -16 Add '-32' to each side of the equation. 32 + -32 + -48a = -16 + -32 Combine like terms: 32 + -32 = 0 0 + -48a = -16 + -32 -48a = -16 + -32 Combine like terms: -16 + -32 = -48 -48a = -48 Divide each side by '-48'. a = 1 Simplifying a = 1
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