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Simplifying 2(4a + 3) = 8 + 6(2a + -3) Reorder the terms: 2(3 + 4a) = 8 + 6(2a + -3) (3 * 2 + 4a * 2) = 8 + 6(2a + -3) (6 + 8a) = 8 + 6(2a + -3) Reorder the terms: 6 + 8a = 8 + 6(-3 + 2a) 6 + 8a = 8 + (-3 * 6 + 2a * 6) 6 + 8a = 8 + (-18 + 12a) Combine like terms: 8 + -18 = -10 6 + 8a = -10 + 12a Solving 6 + 8a = -10 + 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. 6 + 8a + -12a = -10 + 12a + -12a Combine like terms: 8a + -12a = -4a 6 + -4a = -10 + 12a + -12a Combine like terms: 12a + -12a = 0 6 + -4a = -10 + 0 6 + -4a = -10 Add '-6' to each side of the equation. 6 + -6 + -4a = -10 + -6 Combine like terms: 6 + -6 = 0 0 + -4a = -10 + -6 -4a = -10 + -6 Combine like terms: -10 + -6 = -16 -4a = -16 Divide each side by '-4'. a = 4 Simplifying a = 4
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