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Simplifying 2(a + 5) = -2(2a + 3) Reorder the terms: 2(5 + a) = -2(2a + 3) (5 * 2 + a * 2) = -2(2a + 3) (10 + 2a) = -2(2a + 3) Reorder the terms: 10 + 2a = -2(3 + 2a) 10 + 2a = (3 * -2 + 2a * -2) 10 + 2a = (-6 + -4a) Solving 10 + 2a = -6 + -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. 10 + 2a + 4a = -6 + -4a + 4a Combine like terms: 2a + 4a = 6a 10 + 6a = -6 + -4a + 4a Combine like terms: -4a + 4a = 0 10 + 6a = -6 + 0 10 + 6a = -6 Add '-10' to each side of the equation. 10 + -10 + 6a = -6 + -10 Combine like terms: 10 + -10 = 0 0 + 6a = -6 + -10 6a = -6 + -10 Combine like terms: -6 + -10 = -16 6a = -16 Divide each side by '6'. a = -2.666666667 Simplifying a = -2.666666667
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