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Simplifying 205a + 13 = 10a + 403 Reorder the terms: 13 + 205a = 10a + 403 Reorder the terms: 13 + 205a = 403 + 10a Solving 13 + 205a = 403 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 13 + 205a + -10a = 403 + 10a + -10a Combine like terms: 205a + -10a = 195a 13 + 195a = 403 + 10a + -10a Combine like terms: 10a + -10a = 0 13 + 195a = 403 + 0 13 + 195a = 403 Add '-13' to each side of the equation. 13 + -13 + 195a = 403 + -13 Combine like terms: 13 + -13 = 0 0 + 195a = 403 + -13 195a = 403 + -13 Combine like terms: 403 + -13 = 390 195a = 390 Divide each side by '195'. a = 2 Simplifying a = 2
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