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Simplifying 4 + -3a = 7 + -2(2a + 5) Reorder the terms: 4 + -3a = 7 + -2(5 + 2a) 4 + -3a = 7 + (5 * -2 + 2a * -2) 4 + -3a = 7 + (-10 + -4a) Combine like terms: 7 + -10 = -3 4 + -3a = -3 + -4a Solving 4 + -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. 4 + -3a + 4a = -3 + -4a + 4a Combine like terms: -3a + 4a = 1a 4 + 1a = -3 + -4a + 4a Combine like terms: -4a + 4a = 0 4 + 1a = -3 + 0 4 + 1a = -3 Add '-4' to each side of the equation. 4 + -4 + 1a = -3 + -4 Combine like terms: 4 + -4 = 0 0 + 1a = -3 + -4 1a = -3 + -4 Combine like terms: -3 + -4 = -7 1a = -7 Divide each side by '1'. a = -7 Simplifying a = -7
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