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Simplifying 4(2a + -8) = -2(2a + 10) Reorder the terms: 4(-8 + 2a) = -2(2a + 10) (-8 * 4 + 2a * 4) = -2(2a + 10) (-32 + 8a) = -2(2a + 10) Reorder the terms: -32 + 8a = -2(10 + 2a) -32 + 8a = (10 * -2 + 2a * -2) -32 + 8a = (-20 + -4a) Solving -32 + 8a = -20 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. -32 + 8a + 4a = -20 + -4a + 4a Combine like terms: 8a + 4a = 12a -32 + 12a = -20 + -4a + 4a Combine like terms: -4a + 4a = 0 -32 + 12a = -20 + 0 -32 + 12a = -20 Add '32' to each side of the equation. -32 + 32 + 12a = -20 + 32 Combine like terms: -32 + 32 = 0 0 + 12a = -20 + 32 12a = -20 + 32 Combine like terms: -20 + 32 = 12 12a = 12 Divide each side by '12'. a = 1 Simplifying a = 1
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