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Simplifying 5a + 3(5a + 1) + -1 = -4(1 + 2a) + -2a Reorder the terms: 5a + 3(1 + 5a) + -1 = -4(1 + 2a) + -2a 5a + (1 * 3 + 5a * 3) + -1 = -4(1 + 2a) + -2a 5a + (3 + 15a) + -1 = -4(1 + 2a) + -2a Reorder the terms: 3 + -1 + 5a + 15a = -4(1 + 2a) + -2a Combine like terms: 3 + -1 = 2 2 + 5a + 15a = -4(1 + 2a) + -2a Combine like terms: 5a + 15a = 20a 2 + 20a = -4(1 + 2a) + -2a 2 + 20a = (1 * -4 + 2a * -4) + -2a 2 + 20a = (-4 + -8a) + -2a Combine like terms: -8a + -2a = -10a 2 + 20a = -4 + -10a Solving 2 + 20a = -4 + -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. 2 + 20a + 10a = -4 + -10a + 10a Combine like terms: 20a + 10a = 30a 2 + 30a = -4 + -10a + 10a Combine like terms: -10a + 10a = 0 2 + 30a = -4 + 0 2 + 30a = -4 Add '-2' to each side of the equation. 2 + -2 + 30a = -4 + -2 Combine like terms: 2 + -2 = 0 0 + 30a = -4 + -2 30a = -4 + -2 Combine like terms: -4 + -2 = -6 30a = -6 Divide each side by '30'. a = -0.2 Simplifying a = -0.2
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