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Simplifying -117 = 3(1 + 4a) + 8a -117 = (1 * 3 + 4a * 3) + 8a -117 = (3 + 12a) + 8a Combine like terms: 12a + 8a = 20a -117 = 3 + 20a Solving -117 = 3 + 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. -117 + -20a = 3 + 20a + -20a Combine like terms: 20a + -20a = 0 -117 + -20a = 3 + 0 -117 + -20a = 3 Add '117' to each side of the equation. -117 + 117 + -20a = 3 + 117 Combine like terms: -117 + 117 = 0 0 + -20a = 3 + 117 -20a = 3 + 117 Combine like terms: 3 + 117 = 120 -20a = 120 Divide each side by '-20'. a = -6 Simplifying a = -6
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