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Simplifying 3 + -2a = 10 + -3(2a + -3) Reorder the terms: 3 + -2a = 10 + -3(-3 + 2a) 3 + -2a = 10 + (-3 * -3 + 2a * -3) 3 + -2a = 10 + (9 + -6a) Combine like terms: 10 + 9 = 19 3 + -2a = 19 + -6a Solving 3 + -2a = 19 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 3 + -2a + 6a = 19 + -6a + 6a Combine like terms: -2a + 6a = 4a 3 + 4a = 19 + -6a + 6a Combine like terms: -6a + 6a = 0 3 + 4a = 19 + 0 3 + 4a = 19 Add '-3' to each side of the equation. 3 + -3 + 4a = 19 + -3 Combine like terms: 3 + -3 = 0 0 + 4a = 19 + -3 4a = 19 + -3 Combine like terms: 19 + -3 = 16 4a = 16 Divide each side by '4'. a = 4 Simplifying a = 4
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