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Simplifying 5a + 29 = 12a + -48 Reorder the terms: 29 + 5a = 12a + -48 Reorder the terms: 29 + 5a = -48 + 12a Solving 29 + 5a = -48 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 29 + 5a + -12a = -48 + 12a + -12a Combine like terms: 5a + -12a = -7a 29 + -7a = -48 + 12a + -12a Combine like terms: 12a + -12a = 0 29 + -7a = -48 + 0 29 + -7a = -48 Add '-29' to each side of the equation. 29 + -29 + -7a = -48 + -29 Combine like terms: 29 + -29 = 0 0 + -7a = -48 + -29 -7a = -48 + -29 Combine like terms: -48 + -29 = -77 -7a = -77 Divide each side by '-7'. a = 11 Simplifying a = 11
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