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Simplifying 117 = 4a + 3a + -100 Reorder the terms: 117 = -100 + 4a + 3a Combine like terms: 4a + 3a = 7a 117 = -100 + 7a Solving 117 = -100 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 117 + -7a = -100 + 7a + -7a Combine like terms: 7a + -7a = 0 117 + -7a = -100 + 0 117 + -7a = -100 Add '-117' to each side of the equation. 117 + -117 + -7a = -100 + -117 Combine like terms: 117 + -117 = 0 0 + -7a = -100 + -117 -7a = -100 + -117 Combine like terms: -100 + -117 = -217 -7a = -217 Divide each side by '-7'. a = 31 Simplifying a = 31
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