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Simplifying 5(2a + 4b) + 5(a + 2) = 0 (2a * 5 + 4b * 5) + 5(a + 2) = 0 (10a + 20b) + 5(a + 2) = 0 Reorder the terms: 10a + 20b + 5(2 + a) = 0 10a + 20b + (2 * 5 + a * 5) = 0 10a + 20b + (10 + 5a) = 0 Reorder the terms: 10 + 10a + 5a + 20b = 0 Combine like terms: 10a + 5a = 15a 10 + 15a + 20b = 0 Solving 10 + 15a + 20b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 15a + -10 + 20b = 0 + -10 Reorder the terms: 10 + -10 + 15a + 20b = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 15a + 20b = 0 + -10 15a + 20b = 0 + -10 Combine like terms: 0 + -10 = -10 15a + 20b = -10 Add '-20b' to each side of the equation. 15a + 20b + -20b = -10 + -20b Combine like terms: 20b + -20b = 0 15a + 0 = -10 + -20b 15a = -10 + -20b Divide each side by '15'. a = -0.6666666667 + -1.333333333b Simplifying a = -0.6666666667 + -1.333333333b
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