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Simplifying 42 + 32a = 48a + 49 Reorder the terms: 42 + 32a = 49 + 48a Solving 42 + 32a = 49 + 48a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-48a' to each side of the equation. 42 + 32a + -48a = 49 + 48a + -48a Combine like terms: 32a + -48a = -16a 42 + -16a = 49 + 48a + -48a Combine like terms: 48a + -48a = 0 42 + -16a = 49 + 0 42 + -16a = 49 Add '-42' to each side of the equation. 42 + -42 + -16a = 49 + -42 Combine like terms: 42 + -42 = 0 0 + -16a = 49 + -42 -16a = 49 + -42 Combine like terms: 49 + -42 = 7 -16a = 7 Divide each side by '-16'. a = -0.4375 Simplifying a = -0.4375
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