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Simplifying 4a + 100 = 18a + -96 Reorder the terms: 100 + 4a = 18a + -96 Reorder the terms: 100 + 4a = -96 + 18a Solving 100 + 4a = -96 + 18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18a' to each side of the equation. 100 + 4a + -18a = -96 + 18a + -18a Combine like terms: 4a + -18a = -14a 100 + -14a = -96 + 18a + -18a Combine like terms: 18a + -18a = 0 100 + -14a = -96 + 0 100 + -14a = -96 Add '-100' to each side of the equation. 100 + -100 + -14a = -96 + -100 Combine like terms: 100 + -100 = 0 0 + -14a = -96 + -100 -14a = -96 + -100 Combine like terms: -96 + -100 = -196 -14a = -196 Divide each side by '-14'. a = 14 Simplifying a = 14
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