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Simplifying 8a + 32 = -4(1 + -5a) Reorder the terms: 32 + 8a = -4(1 + -5a) 32 + 8a = (1 * -4 + -5a * -4) 32 + 8a = (-4 + 20a) Solving 32 + 8a = -4 + 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. 32 + 8a + -20a = -4 + 20a + -20a Combine like terms: 8a + -20a = -12a 32 + -12a = -4 + 20a + -20a Combine like terms: 20a + -20a = 0 32 + -12a = -4 + 0 32 + -12a = -4 Add '-32' to each side of the equation. 32 + -32 + -12a = -4 + -32 Combine like terms: 32 + -32 = 0 0 + -12a = -4 + -32 -12a = -4 + -32 Combine like terms: -4 + -32 = -36 -12a = -36 Divide each side by '-12'. a = 3 Simplifying a = 3
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