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Simplifying a + -8 = 2(5a + 5) Reorder the terms: -8 + a = 2(5a + 5) Reorder the terms: -8 + a = 2(5 + 5a) -8 + a = (5 * 2 + 5a * 2) -8 + a = (10 + 10a) Solving -8 + a = 10 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -8 + a + -10a = 10 + 10a + -10a Combine like terms: a + -10a = -9a -8 + -9a = 10 + 10a + -10a Combine like terms: 10a + -10a = 0 -8 + -9a = 10 + 0 -8 + -9a = 10 Add '8' to each side of the equation. -8 + 8 + -9a = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -9a = 10 + 8 -9a = 10 + 8 Combine like terms: 10 + 8 = 18 -9a = 18 Divide each side by '-9'. a = -2 Simplifying a = -2
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