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Simplifying 8a + -12 + -3a = 32 + 7a + 18 Reorder the terms: -12 + 8a + -3a = 32 + 7a + 18 Combine like terms: 8a + -3a = 5a -12 + 5a = 32 + 7a + 18 Reorder the terms: -12 + 5a = 32 + 18 + 7a Combine like terms: 32 + 18 = 50 -12 + 5a = 50 + 7a Solving -12 + 5a = 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. -12 + 5a + -7a = 50 + 7a + -7a Combine like terms: 5a + -7a = -2a -12 + -2a = 50 + 7a + -7a Combine like terms: 7a + -7a = 0 -12 + -2a = 50 + 0 -12 + -2a = 50 Add '12' to each side of the equation. -12 + 12 + -2a = 50 + 12 Combine like terms: -12 + 12 = 0 0 + -2a = 50 + 12 -2a = 50 + 12 Combine like terms: 50 + 12 = 62 -2a = 62 Divide each side by '-2'. a = -31 Simplifying a = -31
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