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Simplifying 6 + -3a = 9 + -2(2a + 8) Reorder the terms: 6 + -3a = 9 + -2(8 + 2a) 6 + -3a = 9 + (8 * -2 + 2a * -2) 6 + -3a = 9 + (-16 + -4a) Combine like terms: 9 + -16 = -7 6 + -3a = -7 + -4a Solving 6 + -3a = -7 + -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. 6 + -3a + 4a = -7 + -4a + 4a Combine like terms: -3a + 4a = 1a 6 + 1a = -7 + -4a + 4a Combine like terms: -4a + 4a = 0 6 + 1a = -7 + 0 6 + 1a = -7 Add '-6' to each side of the equation. 6 + -6 + 1a = -7 + -6 Combine like terms: 6 + -6 = 0 0 + 1a = -7 + -6 1a = -7 + -6 Combine like terms: -7 + -6 = -13 1a = -13 Divide each side by '1'. a = -13 Simplifying a = -13
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