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Simplifying 2(a + -4) = 3(6 + 4a) Reorder the terms: 2(-4 + a) = 3(6 + 4a) (-4 * 2 + a * 2) = 3(6 + 4a) (-8 + 2a) = 3(6 + 4a) -8 + 2a = (6 * 3 + 4a * 3) -8 + 2a = (18 + 12a) Solving -8 + 2a = 18 + 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. -8 + 2a + -12a = 18 + 12a + -12a Combine like terms: 2a + -12a = -10a -8 + -10a = 18 + 12a + -12a Combine like terms: 12a + -12a = 0 -8 + -10a = 18 + 0 -8 + -10a = 18 Add '8' to each side of the equation. -8 + 8 + -10a = 18 + 8 Combine like terms: -8 + 8 = 0 0 + -10a = 18 + 8 -10a = 18 + 8 Combine like terms: 18 + 8 = 26 -10a = 26 Divide each side by '-10'. a = -2.6 Simplifying a = -2.6
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