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Simplifying -20 + 8a = 4(8a + 1) Reorder the terms: -20 + 8a = 4(1 + 8a) -20 + 8a = (1 * 4 + 8a * 4) -20 + 8a = (4 + 32a) Solving -20 + 8a = 4 + 32a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-32a' to each side of the equation. -20 + 8a + -32a = 4 + 32a + -32a Combine like terms: 8a + -32a = -24a -20 + -24a = 4 + 32a + -32a Combine like terms: 32a + -32a = 0 -20 + -24a = 4 + 0 -20 + -24a = 4 Add '20' to each side of the equation. -20 + 20 + -24a = 4 + 20 Combine like terms: -20 + 20 = 0 0 + -24a = 4 + 20 -24a = 4 + 20 Combine like terms: 4 + 20 = 24 -24a = 24 Divide each side by '-24'. a = -1 Simplifying a = -1
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