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Simplifying 47 = (2a + -3) + (2a) + (3a + 1) Reorder the terms: 47 = (-3 + 2a) + (2a) + (3a + 1) Remove parenthesis around (-3 + 2a) 47 = -3 + 2a + (2a) + (3a + 1) Reorder the terms: 47 = -3 + 2a + (2a) + (1 + 3a) Remove parenthesis around (1 + 3a) 47 = -3 + 2a + (2a) + 1 + 3a Reorder the terms: 47 = -3 + 1 + 2a + (2a) + 3a Combine like terms: -3 + 1 = -2 47 = -2 + 2a + (2a) + 3a Combine like terms: 2a + (2a) = 4a 47 = -2 + 4a + 3a Combine like terms: 4a + 3a = 7a 47 = -2 + 7a Solving 47 = -2 + 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. 47 + -7a = -2 + 7a + -7a Combine like terms: 7a + -7a = 0 47 + -7a = -2 + 0 47 + -7a = -2 Add '-47' to each side of the equation. 47 + -47 + -7a = -2 + -47 Combine like terms: 47 + -47 = 0 0 + -7a = -2 + -47 -7a = -2 + -47 Combine like terms: -2 + -47 = -49 -7a = -49 Divide each side by '-7'. a = 7 Simplifying a = 7
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