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Simplifying 2(-3a + 4) = 7(2a + 3) Reorder the terms: 2(4 + -3a) = 7(2a + 3) (4 * 2 + -3a * 2) = 7(2a + 3) (8 + -6a) = 7(2a + 3) Reorder the terms: 8 + -6a = 7(3 + 2a) 8 + -6a = (3 * 7 + 2a * 7) 8 + -6a = (21 + 14a) Solving 8 + -6a = 21 + 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. 8 + -6a + -14a = 21 + 14a + -14a Combine like terms: -6a + -14a = -20a 8 + -20a = 21 + 14a + -14a Combine like terms: 14a + -14a = 0 8 + -20a = 21 + 0 8 + -20a = 21 Add '-8' to each side of the equation. 8 + -8 + -20a = 21 + -8 Combine like terms: 8 + -8 = 0 0 + -20a = 21 + -8 -20a = 21 + -8 Combine like terms: 21 + -8 = 13 -20a = 13 Divide each side by '-20'. a = -0.65 Simplifying a = -0.65
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