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Simplifying 7 = 8a + 12 + -7a + -20 Reorder the terms: 7 = 12 + -20 + 8a + -7a Combine like terms: 12 + -20 = -8 7 = -8 + 8a + -7a Combine like terms: 8a + -7a = 1a 7 = -8 + 1a Solving 7 = -8 + 1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 7 + -1a = -8 + 1a + -1a Combine like terms: 1a + -1a = 0 7 + -1a = -8 + 0 7 + -1a = -8 Add '-7' to each side of the equation. 7 + -7 + -1a = -8 + -7 Combine like terms: 7 + -7 = 0 0 + -1a = -8 + -7 -1a = -8 + -7 Combine like terms: -8 + -7 = -15 -1a = -15 Divide each side by '-1'. a = 15 Simplifying a = 15
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