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Simplifying -4a + 3(-2a + 7) = -35 + -3a Reorder the terms: -4a + 3(7 + -2a) = -35 + -3a -4a + (7 * 3 + -2a * 3) = -35 + -3a -4a + (21 + -6a) = -35 + -3a Reorder the terms: 21 + -4a + -6a = -35 + -3a Combine like terms: -4a + -6a = -10a 21 + -10a = -35 + -3a Solving 21 + -10a = -35 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 21 + -10a + 3a = -35 + -3a + 3a Combine like terms: -10a + 3a = -7a 21 + -7a = -35 + -3a + 3a Combine like terms: -3a + 3a = 0 21 + -7a = -35 + 0 21 + -7a = -35 Add '-21' to each side of the equation. 21 + -21 + -7a = -35 + -21 Combine like terms: 21 + -21 = 0 0 + -7a = -35 + -21 -7a = -35 + -21 Combine like terms: -35 + -21 = -56 -7a = -56 Divide each side by '-7'. a = 8 Simplifying a = 8
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