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Simplifying 6 + -3a = 9 + -2 + -1(2a + 5) Reorder the terms: 6 + -3a = 9 + -2 + -1(5 + 2a) 6 + -3a = 9 + -2 + (5 * -1 + 2a * -1) 6 + -3a = 9 + -2 + (-5 + -2a) Combine like terms: 9 + -2 = 7 6 + -3a = 7 + -5 + -2a Combine like terms: 7 + -5 = 2 6 + -3a = 2 + -2a Solving 6 + -3a = 2 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 6 + -3a + 2a = 2 + -2a + 2a Combine like terms: -3a + 2a = -1a 6 + -1a = 2 + -2a + 2a Combine like terms: -2a + 2a = 0 6 + -1a = 2 + 0 6 + -1a = 2 Add '-6' to each side of the equation. 6 + -6 + -1a = 2 + -6 Combine like terms: 6 + -6 = 0 0 + -1a = 2 + -6 -1a = 2 + -6 Combine like terms: 2 + -6 = -4 -1a = -4 Divide each side by '-1'. a = 4 Simplifying a = 4
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