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Simplifying 1.30 + 0.12a = 1.80 + 0.10a Solving 1.30 + 0.12a = 1.80 + 0.10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.10a' to each side of the equation. 1.30 + 0.12a + -0.10a = 1.80 + 0.10a + -0.10a Combine like terms: 0.12a + -0.10a = 0.02a 1.30 + 0.02a = 1.80 + 0.10a + -0.10a Combine like terms: 0.10a + -0.10a = 0.00 1.30 + 0.02a = 1.80 + 0.00 1.30 + 0.02a = 1.80 Add '-1.30' to each side of the equation. 1.30 + -1.30 + 0.02a = 1.80 + -1.30 Combine like terms: 1.30 + -1.30 = 0.00 0.00 + 0.02a = 1.80 + -1.30 0.02a = 1.80 + -1.30 Combine like terms: 1.80 + -1.30 = 0.5 0.02a = 0.5 Divide each side by '0.02'. a = 25 Simplifying a = 25
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