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Simplifying -8a + 4(1 + 5a) = 36 + -16a -8a + (1 * 4 + 5a * 4) = 36 + -16a -8a + (4 + 20a) = 36 + -16a Reorder the terms: 4 + -8a + 20a = 36 + -16a Combine like terms: -8a + 20a = 12a 4 + 12a = 36 + -16a Solving 4 + 12a = 36 + -16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16a' to each side of the equation. 4 + 12a + 16a = 36 + -16a + 16a Combine like terms: 12a + 16a = 28a 4 + 28a = 36 + -16a + 16a Combine like terms: -16a + 16a = 0 4 + 28a = 36 + 0 4 + 28a = 36 Add '-4' to each side of the equation. 4 + -4 + 28a = 36 + -4 Combine like terms: 4 + -4 = 0 0 + 28a = 36 + -4 28a = 36 + -4 Combine like terms: 36 + -4 = 32 28a = 32 Divide each side by '28'. a = 1.142857143 Simplifying a = 1.142857143
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