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Simplifying 35 + -7a = -7(3a + 3) Reorder the terms: 35 + -7a = -7(3 + 3a) 35 + -7a = (3 * -7 + 3a * -7) 35 + -7a = (-21 + -21a) Solving 35 + -7a = -21 + -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. 35 + -7a + 21a = -21 + -21a + 21a Combine like terms: -7a + 21a = 14a 35 + 14a = -21 + -21a + 21a Combine like terms: -21a + 21a = 0 35 + 14a = -21 + 0 35 + 14a = -21 Add '-35' to each side of the equation. 35 + -35 + 14a = -21 + -35 Combine like terms: 35 + -35 = 0 0 + 14a = -21 + -35 14a = -21 + -35 Combine like terms: -21 + -35 = -56 14a = -56 Divide each side by '14'. a = -4 Simplifying a = -4
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