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Simplifying 3a + -7(2a + -3) = 3 + 6(3 + -2a) Reorder the terms: 3a + -7(-3 + 2a) = 3 + 6(3 + -2a) 3a + (-3 * -7 + 2a * -7) = 3 + 6(3 + -2a) 3a + (21 + -14a) = 3 + 6(3 + -2a) Reorder the terms: 21 + 3a + -14a = 3 + 6(3 + -2a) Combine like terms: 3a + -14a = -11a 21 + -11a = 3 + 6(3 + -2a) 21 + -11a = 3 + (3 * 6 + -2a * 6) 21 + -11a = 3 + (18 + -12a) Combine like terms: 3 + 18 = 21 21 + -11a = 21 + -12a Add '-21' to each side of the equation. 21 + -21 + -11a = 21 + -21 + -12a Combine like terms: 21 + -21 = 0 0 + -11a = 21 + -21 + -12a -11a = 21 + -21 + -12a Combine like terms: 21 + -21 = 0 -11a = 0 + -12a -11a = -12a Solving -11a = -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. -11a + 12a = -12a + 12a Combine like terms: -11a + 12a = 1a 1a = -12a + 12a Combine like terms: -12a + 12a = 0 1a = 0 Divide each side by '1'. a = 0 Simplifying a = 0
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