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Simplifying 35 + -3a = -6 + -2(6a + -7) Reorder the terms: 35 + -3a = -6 + -2(-7 + 6a) 35 + -3a = -6 + (-7 * -2 + 6a * -2) 35 + -3a = -6 + (14 + -12a) Combine like terms: -6 + 14 = 8 35 + -3a = 8 + -12a Solving 35 + -3a = 8 + -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. 35 + -3a + 12a = 8 + -12a + 12a Combine like terms: -3a + 12a = 9a 35 + 9a = 8 + -12a + 12a Combine like terms: -12a + 12a = 0 35 + 9a = 8 + 0 35 + 9a = 8 Add '-35' to each side of the equation. 35 + -35 + 9a = 8 + -35 Combine like terms: 35 + -35 = 0 0 + 9a = 8 + -35 9a = 8 + -35 Combine like terms: 8 + -35 = -27 9a = -27 Divide each side by '9'. a = -3 Simplifying a = -3
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