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