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Simplifying 5 + -3a = 9 + -2(2a + 6) Reorder the terms: 5 + -3a = 9 + -2(6 + 2a) 5 + -3a = 9 + (6 * -2 + 2a * -2) 5 + -3a = 9 + (-12 + -4a) Combine like terms: 9 + -12 = -3 5 + -3a = -3 + -4a Solving 5 + -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. 5 + -3a + 4a = -3 + -4a + 4a Combine like terms: -3a + 4a = 1a 5 + 1a = -3 + -4a + 4a Combine like terms: -4a + 4a = 0 5 + 1a = -3 + 0 5 + 1a = -3 Add '-5' to each side of the equation. 5 + -5 + 1a = -3 + -5 Combine like terms: 5 + -5 = 0 0 + 1a = -3 + -5 1a = -3 + -5 Combine like terms: -3 + -5 = -8 1a = -8 Divide each side by '1'. a = -8 Simplifying a = -8
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