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Simplifying 102 = 12 + -4a Solving 102 = 12 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 102 + 4a = 12 + -4a + 4a Combine like terms: -4a + 4a = 0 102 + 4a = 12 + 0 102 + 4a = 12 Add '-102' to each side of the equation. 102 + -102 + 4a = 12 + -102 Combine like terms: 102 + -102 = 0 0 + 4a = 12 + -102 4a = 12 + -102 Combine like terms: 12 + -102 = -90 4a = -90 Divide each side by '4'. a = -22.5 Simplifying a = -22.5
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