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Simplifying 7(a + -3) = -35 + 5a Reorder the terms: 7(-3 + a) = -35 + 5a (-3 * 7 + a * 7) = -35 + 5a (-21 + 7a) = -35 + 5a Solving -21 + 7a = -35 + 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. -21 + 7a + -5a = -35 + 5a + -5a Combine like terms: 7a + -5a = 2a -21 + 2a = -35 + 5a + -5a Combine like terms: 5a + -5a = 0 -21 + 2a = -35 + 0 -21 + 2a = -35 Add '21' to each side of the equation. -21 + 21 + 2a = -35 + 21 Combine like terms: -21 + 21 = 0 0 + 2a = -35 + 21 2a = -35 + 21 Combine like terms: -35 + 21 = -14 2a = -14 Divide each side by '2'. a = -7 Simplifying a = -7
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