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Simplifying 10(a + 1) = 2(a + 2) * 2 Reorder the terms: 10(1 + a) = 2(a + 2) * 2 (1 * 10 + a * 10) = 2(a + 2) * 2 (10 + 10a) = 2(a + 2) * 2 Reorder the terms: 10 + 10a = 2(2 + a) * 2 Reorder the terms for easier multiplication: 10 + 10a = 2 * 2(2 + a) Multiply 2 * 2 10 + 10a = 4(2 + a) 10 + 10a = (2 * 4 + a * 4) 10 + 10a = (8 + 4a) Solving 10 + 10a = 8 + 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 + 10a + -4a = 8 + 4a + -4a Combine like terms: 10a + -4a = 6a 10 + 6a = 8 + 4a + -4a Combine like terms: 4a + -4a = 0 10 + 6a = 8 + 0 10 + 6a = 8 Add '-10' to each side of the equation. 10 + -10 + 6a = 8 + -10 Combine like terms: 10 + -10 = 0 0 + 6a = 8 + -10 6a = 8 + -10 Combine like terms: 8 + -10 = -2 6a = -2 Divide each side by '6'. a = -0.3333333333 Simplifying a = -0.3333333333
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