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Simplifying 2a + -3(1 + -5a) = 35 + -2a 2a + (1 * -3 + -5a * -3) = 35 + -2a 2a + (-3 + 15a) = 35 + -2a Reorder the terms: -3 + 2a + 15a = 35 + -2a Combine like terms: 2a + 15a = 17a -3 + 17a = 35 + -2a Solving -3 + 17a = 35 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. -3 + 17a + 2a = 35 + -2a + 2a Combine like terms: 17a + 2a = 19a -3 + 19a = 35 + -2a + 2a Combine like terms: -2a + 2a = 0 -3 + 19a = 35 + 0 -3 + 19a = 35 Add '3' to each side of the equation. -3 + 3 + 19a = 35 + 3 Combine like terms: -3 + 3 = 0 0 + 19a = 35 + 3 19a = 35 + 3 Combine like terms: 35 + 3 = 38 19a = 38 Divide each side by '19'. a = 2 Simplifying a = 2
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