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Simplifying -7a + 9 = 3a + 47 Reorder the terms: 9 + -7a = 3a + 47 Reorder the terms: 9 + -7a = 47 + 3a Solving 9 + -7a = 47 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 9 + -7a + -3a = 47 + 3a + -3a Combine like terms: -7a + -3a = -10a 9 + -10a = 47 + 3a + -3a Combine like terms: 3a + -3a = 0 9 + -10a = 47 + 0 9 + -10a = 47 Add '-9' to each side of the equation. 9 + -9 + -10a = 47 + -9 Combine like terms: 9 + -9 = 0 0 + -10a = 47 + -9 -10a = 47 + -9 Combine like terms: 47 + -9 = 38 -10a = 38 Divide each side by '-10'. a = -3.8 Simplifying a = -3.8
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