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Simplifying 2(a + b) * 2 + 5(a + b) + -3 = 0 Reorder the terms for easier multiplication: 2 * 2(a + b) + 5(a + b) + -3 = 0 Multiply 2 * 2 4(a + b) + 5(a + b) + -3 = 0 (a * 4 + b * 4) + 5(a + b) + -3 = 0 (4a + 4b) + 5(a + b) + -3 = 0 4a + 4b + (a * 5 + b * 5) + -3 = 0 4a + 4b + (5a + 5b) + -3 = 0 Reorder the terms: -3 + 4a + 5a + 4b + 5b = 0 Combine like terms: 4a + 5a = 9a -3 + 9a + 4b + 5b = 0 Combine like terms: 4b + 5b = 9b -3 + 9a + 9b = 0 Solving -3 + 9a + 9b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 9a + 3 + 9b = 0 + 3 Reorder the terms: -3 + 3 + 9a + 9b = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 9a + 9b = 0 + 3 9a + 9b = 0 + 3 Combine like terms: 0 + 3 = 3 9a + 9b = 3 Add '-9b' to each side of the equation. 9a + 9b + -9b = 3 + -9b Combine like terms: 9b + -9b = 0 9a + 0 = 3 + -9b 9a = 3 + -9b Divide each side by '9'. a = 0.3333333333 + -1b Simplifying a = 0.3333333333 + -1b
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