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Simplifying 2a + -12 = 7a + 8 Reorder the terms: -12 + 2a = 7a + 8 Reorder the terms: -12 + 2a = 8 + 7a Solving -12 + 2a = 8 + 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 + 2a + -7a = 8 + 7a + -7a Combine like terms: 2a + -7a = -5a -12 + -5a = 8 + 7a + -7a Combine like terms: 7a + -7a = 0 -12 + -5a = 8 + 0 -12 + -5a = 8 Add '12' to each side of the equation. -12 + 12 + -5a = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -5a = 8 + 12 -5a = 8 + 12 Combine like terms: 8 + 12 = 20 -5a = 20 Divide each side by '-5'. a = -4 Simplifying a = -4
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