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Simplifying 4 + 5a = 9 + 10a Solving 4 + 5a = 9 + 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. 4 + 5a + -10a = 9 + 10a + -10a Combine like terms: 5a + -10a = -5a 4 + -5a = 9 + 10a + -10a Combine like terms: 10a + -10a = 0 4 + -5a = 9 + 0 4 + -5a = 9 Add '-4' to each side of the equation. 4 + -4 + -5a = 9 + -4 Combine like terms: 4 + -4 = 0 0 + -5a = 9 + -4 -5a = 9 + -4 Combine like terms: 9 + -4 = 5 -5a = 5 Divide each side by '-5'. a = -1 Simplifying a = -1
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