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Simplifying 3a + -6a + 4(a + -4) = -2(a + 2) Reorder the terms: 3a + -6a + 4(-4 + a) = -2(a + 2) 3a + -6a + (-4 * 4 + a * 4) = -2(a + 2) 3a + -6a + (-16 + 4a) = -2(a + 2) Reorder the terms: -16 + 3a + -6a + 4a = -2(a + 2) Combine like terms: 3a + -6a = -3a -16 + -3a + 4a = -2(a + 2) Combine like terms: -3a + 4a = 1a -16 + 1a = -2(a + 2) Reorder the terms: -16 + 1a = -2(2 + a) -16 + 1a = (2 * -2 + a * -2) -16 + 1a = (-4 + -2a) Solving -16 + 1a = -4 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. -16 + 1a + 2a = -4 + -2a + 2a Combine like terms: 1a + 2a = 3a -16 + 3a = -4 + -2a + 2a Combine like terms: -2a + 2a = 0 -16 + 3a = -4 + 0 -16 + 3a = -4 Add '16' to each side of the equation. -16 + 16 + 3a = -4 + 16 Combine like terms: -16 + 16 = 0 0 + 3a = -4 + 16 3a = -4 + 16 Combine like terms: -4 + 16 = 12 3a = 12 Divide each side by '3'. a = 4 Simplifying a = 4
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