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Simplifying 5x + -15 + 9a = 3a + 29 Reorder the terms: -15 + 9a + 5x = 3a + 29 Reorder the terms: -15 + 9a + 5x = 29 + 3a Solving -15 + 9a + 5x = 29 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -15 + 9a + -3a + 5x = 29 + 3a + -3a Combine like terms: 9a + -3a = 6a -15 + 6a + 5x = 29 + 3a + -3a Combine like terms: 3a + -3a = 0 -15 + 6a + 5x = 29 + 0 -15 + 6a + 5x = 29 Add '15' to each side of the equation. -15 + 6a + 15 + 5x = 29 + 15 Reorder the terms: -15 + 15 + 6a + 5x = 29 + 15 Combine like terms: -15 + 15 = 0 0 + 6a + 5x = 29 + 15 6a + 5x = 29 + 15 Combine like terms: 29 + 15 = 44 6a + 5x = 44 Add '-5x' to each side of the equation. 6a + 5x + -5x = 44 + -5x Combine like terms: 5x + -5x = 0 6a + 0 = 44 + -5x 6a = 44 + -5x Divide each side by '6'. a = 7.333333333 + -0.8333333333x Simplifying a = 7.333333333 + -0.8333333333x
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