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Simplifying -7 + 5(3a + 5) = -3a Reorder the terms: -7 + 5(5 + 3a) = -3a -7 + (5 * 5 + 3a * 5) = -3a -7 + (25 + 15a) = -3a Combine like terms: -7 + 25 = 18 18 + 15a = -3a Solving 18 + 15a = -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. 18 + 15a + 3a = -3a + 3a Combine like terms: 15a + 3a = 18a 18 + 18a = -3a + 3a Combine like terms: -3a + 3a = 0 18 + 18a = 0 Add '-18' to each side of the equation. 18 + -18 + 18a = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 18a = 0 + -18 18a = 0 + -18 Combine like terms: 0 + -18 = -18 18a = -18 Divide each side by '18'. a = -1 Simplifying a = -1
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