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Simplifying 116 = 8(1 + 4a) + -5a 116 = (1 * 8 + 4a * 8) + -5a 116 = (8 + 32a) + -5a Combine like terms: 32a + -5a = 27a 116 = 8 + 27a Solving 116 = 8 + 27a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-27a' to each side of the equation. 116 + -27a = 8 + 27a + -27a Combine like terms: 27a + -27a = 0 116 + -27a = 8 + 0 116 + -27a = 8 Add '-116' to each side of the equation. 116 + -116 + -27a = 8 + -116 Combine like terms: 116 + -116 = 0 0 + -27a = 8 + -116 -27a = 8 + -116 Combine like terms: 8 + -116 = -108 -27a = -108 Divide each side by '-27'. a = 4 Simplifying a = 4
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