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Simplifying 102 = (4a + 30) Reorder the terms: 102 = (30 + 4a) Remove parenthesis around (30 + 4a) 102 = 30 + 4a Solving 102 = 30 + 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 = 30 + 4a + -4a Combine like terms: 4a + -4a = 0 102 + -4a = 30 + 0 102 + -4a = 30 Add '-102' to each side of the equation. 102 + -102 + -4a = 30 + -102 Combine like terms: 102 + -102 = 0 0 + -4a = 30 + -102 -4a = 30 + -102 Combine like terms: 30 + -102 = -72 -4a = -72 Divide each side by '-4'. a = 18 Simplifying a = 18
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