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Simplifying 3a + 43 = 7a + 50 Reorder the terms: 43 + 3a = 7a + 50 Reorder the terms: 43 + 3a = 50 + 7a Solving 43 + 3a = 50 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 43 + 3a + -7a = 50 + 7a + -7a Combine like terms: 3a + -7a = -4a 43 + -4a = 50 + 7a + -7a Combine like terms: 7a + -7a = 0 43 + -4a = 50 + 0 43 + -4a = 50 Add '-43' to each side of the equation. 43 + -43 + -4a = 50 + -43 Combine like terms: 43 + -43 = 0 0 + -4a = 50 + -43 -4a = 50 + -43 Combine like terms: 50 + -43 = 7 -4a = 7 Divide each side by '-4'. a = -1.75 Simplifying a = -1.75
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