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Simplifying -35 + 3a = -7a + -1(-2a + 3) Reorder the terms: -35 + 3a = -7a + -1(3 + -2a) -35 + 3a = -7a + (3 * -1 + -2a * -1) -35 + 3a = -7a + (-3 + 2a) Reorder the terms: -35 + 3a = -3 + -7a + 2a Combine like terms: -7a + 2a = -5a -35 + 3a = -3 + -5a Solving -35 + 3a = -3 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. -35 + 3a + 5a = -3 + -5a + 5a Combine like terms: 3a + 5a = 8a -35 + 8a = -3 + -5a + 5a Combine like terms: -5a + 5a = 0 -35 + 8a = -3 + 0 -35 + 8a = -3 Add '35' to each side of the equation. -35 + 35 + 8a = -3 + 35 Combine like terms: -35 + 35 = 0 0 + 8a = -3 + 35 8a = -3 + 35 Combine like terms: -3 + 35 = 32 8a = 32 Divide each side by '8'. a = 4 Simplifying a = 4
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