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Simplifying -7(a + -3) + -3 = -8a + 7 Reorder the terms: -7(-3 + a) + -3 = -8a + 7 (-3 * -7 + a * -7) + -3 = -8a + 7 (21 + -7a) + -3 = -8a + 7 Reorder the terms: 21 + -3 + -7a = -8a + 7 Combine like terms: 21 + -3 = 18 18 + -7a = -8a + 7 Reorder the terms: 18 + -7a = 7 + -8a Solving 18 + -7a = 7 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. 18 + -7a + 8a = 7 + -8a + 8a Combine like terms: -7a + 8a = 1a 18 + 1a = 7 + -8a + 8a Combine like terms: -8a + 8a = 0 18 + 1a = 7 + 0 18 + 1a = 7 Add '-18' to each side of the equation. 18 + -18 + 1a = 7 + -18 Combine like terms: 18 + -18 = 0 0 + 1a = 7 + -18 1a = 7 + -18 Combine like terms: 7 + -18 = -11 1a = -11 Divide each side by '1'. a = -11 Simplifying a = -11
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