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Simplifying 5 + -1(2a + 5) + 3a = 10 + -7(3a + -2) + -35 Reorder the terms: 5 + -1(5 + 2a) + 3a = 10 + -7(3a + -2) + -35 5 + (5 * -1 + 2a * -1) + 3a = 10 + -7(3a + -2) + -35 5 + (-5 + -2a) + 3a = 10 + -7(3a + -2) + -35 Combine like terms: 5 + -5 = 0 0 + -2a + 3a = 10 + -7(3a + -2) + -35 -2a + 3a = 10 + -7(3a + -2) + -35 Combine like terms: -2a + 3a = 1a 1a = 10 + -7(3a + -2) + -35 Reorder the terms: 1a = 10 + -7(-2 + 3a) + -35 1a = 10 + (-2 * -7 + 3a * -7) + -35 1a = 10 + (14 + -21a) + -35 Reorder the terms: 1a = 10 + 14 + -35 + -21a Combine like terms: 10 + 14 = 24 1a = 24 + -35 + -21a Combine like terms: 24 + -35 = -11 1a = -11 + -21a Solving 1a = -11 + -21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21a' to each side of the equation. 1a + 21a = -11 + -21a + 21a Combine like terms: 1a + 21a = 22a 22a = -11 + -21a + 21a Combine like terms: -21a + 21a = 0 22a = -11 + 0 22a = -11 Divide each side by '22'. a = -0.5 Simplifying a = -0.5
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