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Simplifying 75 + 2a = 100 + -2a Solving 75 + 2a = 100 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 75 + 2a + 2a = 100 + -2a + 2a Combine like terms: 2a + 2a = 4a 75 + 4a = 100 + -2a + 2a Combine like terms: -2a + 2a = 0 75 + 4a = 100 + 0 75 + 4a = 100 Add '-75' to each side of the equation. 75 + -75 + 4a = 100 + -75 Combine like terms: 75 + -75 = 0 0 + 4a = 100 + -75 4a = 100 + -75 Combine like terms: 100 + -75 = 25 4a = 25 Divide each side by '4'. a = 6.25 Simplifying a = 6.25
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