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Simplifying 4(2a + -5) = 3(4 + -1a) + 1 Reorder the terms: 4(-5 + 2a) = 3(4 + -1a) + 1 (-5 * 4 + 2a * 4) = 3(4 + -1a) + 1 (-20 + 8a) = 3(4 + -1a) + 1 -20 + 8a = (4 * 3 + -1a * 3) + 1 -20 + 8a = (12 + -3a) + 1 Reorder the terms: -20 + 8a = 12 + 1 + -3a Combine like terms: 12 + 1 = 13 -20 + 8a = 13 + -3a Solving -20 + 8a = 13 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. -20 + 8a + 3a = 13 + -3a + 3a Combine like terms: 8a + 3a = 11a -20 + 11a = 13 + -3a + 3a Combine like terms: -3a + 3a = 0 -20 + 11a = 13 + 0 -20 + 11a = 13 Add '20' to each side of the equation. -20 + 20 + 11a = 13 + 20 Combine like terms: -20 + 20 = 0 0 + 11a = 13 + 20 11a = 13 + 20 Combine like terms: 13 + 20 = 33 11a = 33 Divide each side by '11'. a = 3 Simplifying a = 3
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