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Simplifying 5a + 29 = 10a + -81 Reorder the terms: 29 + 5a = 10a + -81 Reorder the terms: 29 + 5a = -81 + 10a Solving 29 + 5a = -81 + 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. 29 + 5a + -10a = -81 + 10a + -10a Combine like terms: 5a + -10a = -5a 29 + -5a = -81 + 10a + -10a Combine like terms: 10a + -10a = 0 29 + -5a = -81 + 0 29 + -5a = -81 Add '-29' to each side of the equation. 29 + -29 + -5a = -81 + -29 Combine like terms: 29 + -29 = 0 0 + -5a = -81 + -29 -5a = -81 + -29 Combine like terms: -81 + -29 = -110 -5a = -110 Divide each side by '-5'. a = 22 Simplifying a = 22
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