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Simplifying -21 = 2(4a + 2) Reorder the terms: -21 = 2(2 + 4a) -21 = (2 * 2 + 4a * 2) -21 = (4 + 8a) Solving -21 = 4 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -21 + -8a = 4 + 8a + -8a Combine like terms: 8a + -8a = 0 -21 + -8a = 4 + 0 -21 + -8a = 4 Add '21' to each side of the equation. -21 + 21 + -8a = 4 + 21 Combine like terms: -21 + 21 = 0 0 + -8a = 4 + 21 -8a = 4 + 21 Combine like terms: 4 + 21 = 25 -8a = 25 Divide each side by '-8'. a = -3.125 Simplifying a = -3.125
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