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Simplifying -2(a + 4) = 3(2a + 1) Reorder the terms: -2(4 + a) = 3(2a + 1) (4 * -2 + a * -2) = 3(2a + 1) (-8 + -2a) = 3(2a + 1) Reorder the terms: -8 + -2a = 3(1 + 2a) -8 + -2a = (1 * 3 + 2a * 3) -8 + -2a = (3 + 6a) Solving -8 + -2a = 3 + 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. -8 + -2a + -6a = 3 + 6a + -6a Combine like terms: -2a + -6a = -8a -8 + -8a = 3 + 6a + -6a Combine like terms: 6a + -6a = 0 -8 + -8a = 3 + 0 -8 + -8a = 3 Add '8' to each side of the equation. -8 + 8 + -8a = 3 + 8 Combine like terms: -8 + 8 = 0 0 + -8a = 3 + 8 -8a = 3 + 8 Combine like terms: 3 + 8 = 11 -8a = 11 Divide each side by '-8'. a = -1.375 Simplifying a = -1.375
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