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Simplifying a + -9a + 75 = 135 + 2a Reorder the terms: 75 + a + -9a = 135 + 2a Combine like terms: a + -9a = -8a 75 + -8a = 135 + 2a Solving 75 + -8a = 135 + 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 + -8a + -2a = 135 + 2a + -2a Combine like terms: -8a + -2a = -10a 75 + -10a = 135 + 2a + -2a Combine like terms: 2a + -2a = 0 75 + -10a = 135 + 0 75 + -10a = 135 Add '-75' to each side of the equation. 75 + -75 + -10a = 135 + -75 Combine like terms: 75 + -75 = 0 0 + -10a = 135 + -75 -10a = 135 + -75 Combine like terms: 135 + -75 = 60 -10a = 60 Divide each side by '-10'. a = -6 Simplifying a = -6
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