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Simplifying 6(4a + -3) + -2 = 4(7a + 2) Reorder the terms: 6(-3 + 4a) + -2 = 4(7a + 2) (-3 * 6 + 4a * 6) + -2 = 4(7a + 2) (-18 + 24a) + -2 = 4(7a + 2) Reorder the terms: -18 + -2 + 24a = 4(7a + 2) Combine like terms: -18 + -2 = -20 -20 + 24a = 4(7a + 2) Reorder the terms: -20 + 24a = 4(2 + 7a) -20 + 24a = (2 * 4 + 7a * 4) -20 + 24a = (8 + 28a) Solving -20 + 24a = 8 + 28a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-28a' to each side of the equation. -20 + 24a + -28a = 8 + 28a + -28a Combine like terms: 24a + -28a = -4a -20 + -4a = 8 + 28a + -28a Combine like terms: 28a + -28a = 0 -20 + -4a = 8 + 0 -20 + -4a = 8 Add '20' to each side of the equation. -20 + 20 + -4a = 8 + 20 Combine like terms: -20 + 20 = 0 0 + -4a = 8 + 20 -4a = 8 + 20 Combine like terms: 8 + 20 = 28 -4a = 28 Divide each side by '-4'. a = -7 Simplifying a = -7
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