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Simplifying -4(3a + -5) = 4(2 + -2a) + 4 Reorder the terms: -4(-5 + 3a) = 4(2 + -2a) + 4 (-5 * -4 + 3a * -4) = 4(2 + -2a) + 4 (20 + -12a) = 4(2 + -2a) + 4 20 + -12a = (2 * 4 + -2a * 4) + 4 20 + -12a = (8 + -8a) + 4 Reorder the terms: 20 + -12a = 8 + 4 + -8a Combine like terms: 8 + 4 = 12 20 + -12a = 12 + -8a Solving 20 + -12a = 12 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. 20 + -12a + 8a = 12 + -8a + 8a Combine like terms: -12a + 8a = -4a 20 + -4a = 12 + -8a + 8a Combine like terms: -8a + 8a = 0 20 + -4a = 12 + 0 20 + -4a = 12 Add '-20' to each side of the equation. 20 + -20 + -4a = 12 + -20 Combine like terms: 20 + -20 = 0 0 + -4a = 12 + -20 -4a = 12 + -20 Combine like terms: 12 + -20 = -8 -4a = -8 Divide each side by '-4'. a = 2 Simplifying a = 2
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