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Simplifying -3(4a + -7) = -6a + -35 Reorder the terms: -3(-7 + 4a) = -6a + -35 (-7 * -3 + 4a * -3) = -6a + -35 (21 + -12a) = -6a + -35 Reorder the terms: 21 + -12a = -35 + -6a Solving 21 + -12a = -35 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 21 + -12a + 6a = -35 + -6a + 6a Combine like terms: -12a + 6a = -6a 21 + -6a = -35 + -6a + 6a Combine like terms: -6a + 6a = 0 21 + -6a = -35 + 0 21 + -6a = -35 Add '-21' to each side of the equation. 21 + -21 + -6a = -35 + -21 Combine like terms: 21 + -21 = 0 0 + -6a = -35 + -21 -6a = -35 + -21 Combine like terms: -35 + -21 = -56 -6a = -56 Divide each side by '-6'. a = 9.333333333 Simplifying a = 9.333333333
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