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Simplifying 160 = 4(8a + 8) Reorder the terms: 160 = 4(8 + 8a) 160 = (8 * 4 + 8a * 4) 160 = (32 + 32a) Solving 160 = 32 + 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. 160 + -32a = 32 + 32a + -32a Combine like terms: 32a + -32a = 0 160 + -32a = 32 + 0 160 + -32a = 32 Add '-160' to each side of the equation. 160 + -160 + -32a = 32 + -160 Combine like terms: 160 + -160 = 0 0 + -32a = 32 + -160 -32a = 32 + -160 Combine like terms: 32 + -160 = -128 -32a = -128 Divide each side by '-32'. a = 4 Simplifying a = 4
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