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Simplifying 2 + -3a = 7 + -2(2a + 5) Reorder the terms: 2 + -3a = 7 + -2(5 + 2a) 2 + -3a = 7 + (5 * -2 + 2a * -2) 2 + -3a = 7 + (-10 + -4a) Combine like terms: 7 + -10 = -3 2 + -3a = -3 + -4a Solving 2 + -3a = -3 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 2 + -3a + 4a = -3 + -4a + 4a Combine like terms: -3a + 4a = 1a 2 + 1a = -3 + -4a + 4a Combine like terms: -4a + 4a = 0 2 + 1a = -3 + 0 2 + 1a = -3 Add '-2' to each side of the equation. 2 + -2 + 1a = -3 + -2 Combine like terms: 2 + -2 = 0 0 + 1a = -3 + -2 1a = -3 + -2 Combine like terms: -3 + -2 = -5 1a = -5 Divide each side by '1'. a = -5 Simplifying a = -5
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