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Simplifying 8a + -32 = 4(7 + 5a) Reorder the terms: -32 + 8a = 4(7 + 5a) -32 + 8a = (7 * 4 + 5a * 4) -32 + 8a = (28 + 20a) Solving -32 + 8a = 28 + 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 = 28 + 20a + -20a Combine like terms: 8a + -20a = -12a -32 + -12a = 28 + 20a + -20a Combine like terms: 20a + -20a = 0 -32 + -12a = 28 + 0 -32 + -12a = 28 Add '32' to each side of the equation. -32 + 32 + -12a = 28 + 32 Combine like terms: -32 + 32 = 0 0 + -12a = 28 + 32 -12a = 28 + 32 Combine like terms: 28 + 32 = 60 -12a = 60 Divide each side by '-12'. a = -5 Simplifying a = -5
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