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Simplifying 10a + 15 = 14a + -29 Reorder the terms: 15 + 10a = 14a + -29 Reorder the terms: 15 + 10a = -29 + 14a Solving 15 + 10a = -29 + 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. 15 + 10a + -14a = -29 + 14a + -14a Combine like terms: 10a + -14a = -4a 15 + -4a = -29 + 14a + -14a Combine like terms: 14a + -14a = 0 15 + -4a = -29 + 0 15 + -4a = -29 Add '-15' to each side of the equation. 15 + -15 + -4a = -29 + -15 Combine like terms: 15 + -15 = 0 0 + -4a = -29 + -15 -4a = -29 + -15 Combine like terms: -29 + -15 = -44 -4a = -44 Divide each side by '-4'. a = 11 Simplifying a = 11
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