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Simplifying 3(a + 5) = -2a + 5 + 2(a + -10) Reorder the terms: 3(5 + a) = -2a + 5 + 2(a + -10) (5 * 3 + a * 3) = -2a + 5 + 2(a + -10) (15 + 3a) = -2a + 5 + 2(a + -10) Reorder the terms: 15 + 3a = -2a + 5 + 2(-10 + a) 15 + 3a = -2a + 5 + (-10 * 2 + a * 2) 15 + 3a = -2a + 5 + (-20 + 2a) Reorder the terms: 15 + 3a = 5 + -20 + -2a + 2a Combine like terms: 5 + -20 = -15 15 + 3a = -15 + -2a + 2a Combine like terms: -2a + 2a = 0 15 + 3a = -15 + 0 15 + 3a = -15 Solving 15 + 3a = -15 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 3a = -15 + -15 Combine like terms: 15 + -15 = 0 0 + 3a = -15 + -15 3a = -15 + -15 Combine like terms: -15 + -15 = -30 3a = -30 Divide each side by '3'. a = -10 Simplifying a = -10
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