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