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Simplifying 4(3a + -2) + 2 = 3(2a + -6) Reorder the terms: 4(-2 + 3a) + 2 = 3(2a + -6) (-2 * 4 + 3a * 4) + 2 = 3(2a + -6) (-8 + 12a) + 2 = 3(2a + -6) Reorder the terms: -8 + 2 + 12a = 3(2a + -6) Combine like terms: -8 + 2 = -6 -6 + 12a = 3(2a + -6) Reorder the terms: -6 + 12a = 3(-6 + 2a) -6 + 12a = (-6 * 3 + 2a * 3) -6 + 12a = (-18 + 6a) Solving -6 + 12a = -18 + 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. -6 + 12a + -6a = -18 + 6a + -6a Combine like terms: 12a + -6a = 6a -6 + 6a = -18 + 6a + -6a Combine like terms: 6a + -6a = 0 -6 + 6a = -18 + 0 -6 + 6a = -18 Add '6' to each side of the equation. -6 + 6 + 6a = -18 + 6 Combine like terms: -6 + 6 = 0 0 + 6a = -18 + 6 6a = -18 + 6 Combine like terms: -18 + 6 = -12 6a = -12 Divide each side by '6'. a = -2 Simplifying a = -2
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