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Simplifying 4(2a + -5) = a + 1 Reorder the terms: 4(-5 + 2a) = a + 1 (-5 * 4 + 2a * 4) = a + 1 (-20 + 8a) = a + 1 Reorder the terms: -20 + 8a = 1 + a Solving -20 + 8a = 1 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -20 + 8a + -1a = 1 + a + -1a Combine like terms: 8a + -1a = 7a -20 + 7a = 1 + a + -1a Combine like terms: a + -1a = 0 -20 + 7a = 1 + 0 -20 + 7a = 1 Add '20' to each side of the equation. -20 + 20 + 7a = 1 + 20 Combine like terms: -20 + 20 = 0 0 + 7a = 1 + 20 7a = 1 + 20 Combine like terms: 1 + 20 = 21 7a = 21 Divide each side by '7'. a = 3 Simplifying a = 3
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