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Simplifying 7(a + 5) = 2a + -15 Reorder the terms: 7(5 + a) = 2a + -15 (5 * 7 + a * 7) = 2a + -15 (35 + 7a) = 2a + -15 Reorder the terms: 35 + 7a = -15 + 2a Solving 35 + 7a = -15 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 35 + 7a + -2a = -15 + 2a + -2a Combine like terms: 7a + -2a = 5a 35 + 5a = -15 + 2a + -2a Combine like terms: 2a + -2a = 0 35 + 5a = -15 + 0 35 + 5a = -15 Add '-35' to each side of the equation. 35 + -35 + 5a = -15 + -35 Combine like terms: 35 + -35 = 0 0 + 5a = -15 + -35 5a = -15 + -35 Combine like terms: -15 + -35 = -50 5a = -50 Divide each side by '5'. a = -10 Simplifying a = -10
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