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Simplifying -2(a + 4) = 7a + 8 Reorder the terms: -2(4 + a) = 7a + 8 (4 * -2 + a * -2) = 7a + 8 (-8 + -2a) = 7a + 8 Reorder the terms: -8 + -2a = 8 + 7a Solving -8 + -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. -8 + -2a + -7a = 8 + 7a + -7a Combine like terms: -2a + -7a = -9a -8 + -9a = 8 + 7a + -7a Combine like terms: 7a + -7a = 0 -8 + -9a = 8 + 0 -8 + -9a = 8 Add '8' to each side of the equation. -8 + 8 + -9a = 8 + 8 Combine like terms: -8 + 8 = 0 0 + -9a = 8 + 8 -9a = 8 + 8 Combine like terms: 8 + 8 = 16 -9a = 16 Divide each side by '-9'. a = -1.777777778 Simplifying a = -1.777777778
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