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Simplifying (3a + -5) + (4a + -3) = 90 Reorder the terms: (-5 + 3a) + (4a + -3) = 90 Remove parenthesis around (-5 + 3a) -5 + 3a + (4a + -3) = 90 Reorder the terms: -5 + 3a + (-3 + 4a) = 90 Remove parenthesis around (-3 + 4a) -5 + 3a + -3 + 4a = 90 Reorder the terms: -5 + -3 + 3a + 4a = 90 Combine like terms: -5 + -3 = -8 -8 + 3a + 4a = 90 Combine like terms: 3a + 4a = 7a -8 + 7a = 90 Solving -8 + 7a = 90 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 7a = 90 + 8 Combine like terms: -8 + 8 = 0 0 + 7a = 90 + 8 7a = 90 + 8 Combine like terms: 90 + 8 = 98 7a = 98 Divide each side by '7'. a = 14 Simplifying a = 14
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