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Simplifying 2(a + -2) = 3(2a + -8) Reorder the terms: 2(-2 + a) = 3(2a + -8) (-2 * 2 + a * 2) = 3(2a + -8) (-4 + 2a) = 3(2a + -8) Reorder the terms: -4 + 2a = 3(-8 + 2a) -4 + 2a = (-8 * 3 + 2a * 3) -4 + 2a = (-24 + 6a) Solving -4 + 2a = -24 + 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. -4 + 2a + -6a = -24 + 6a + -6a Combine like terms: 2a + -6a = -4a -4 + -4a = -24 + 6a + -6a Combine like terms: 6a + -6a = 0 -4 + -4a = -24 + 0 -4 + -4a = -24 Add '4' to each side of the equation. -4 + 4 + -4a = -24 + 4 Combine like terms: -4 + 4 = 0 0 + -4a = -24 + 4 -4a = -24 + 4 Combine like terms: -24 + 4 = -20 -4a = -20 Divide each side by '-4'. a = 5 Simplifying a = 5
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