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Simplifying -8a + 32 + 3a = 8a + 18 + 1 Reorder the terms: 32 + -8a + 3a = 8a + 18 + 1 Combine like terms: -8a + 3a = -5a 32 + -5a = 8a + 18 + 1 Reorder the terms: 32 + -5a = 18 + 1 + 8a Combine like terms: 18 + 1 = 19 32 + -5a = 19 + 8a Solving 32 + -5a = 19 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 32 + -5a + -8a = 19 + 8a + -8a Combine like terms: -5a + -8a = -13a 32 + -13a = 19 + 8a + -8a Combine like terms: 8a + -8a = 0 32 + -13a = 19 + 0 32 + -13a = 19 Add '-32' to each side of the equation. 32 + -32 + -13a = 19 + -32 Combine like terms: 32 + -32 = 0 0 + -13a = 19 + -32 -13a = 19 + -32 Combine like terms: 19 + -32 = -13 -13a = -13 Divide each side by '-13'. a = 1 Simplifying a = 1
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