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Simplifying 5a + -75 = -20(a + 20) Reorder the terms: -75 + 5a = -20(a + 20) Reorder the terms: -75 + 5a = -20(20 + a) -75 + 5a = (20 * -20 + a * -20) -75 + 5a = (-400 + -20a) Solving -75 + 5a = -400 + -20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '20a' to each side of the equation. -75 + 5a + 20a = -400 + -20a + 20a Combine like terms: 5a + 20a = 25a -75 + 25a = -400 + -20a + 20a Combine like terms: -20a + 20a = 0 -75 + 25a = -400 + 0 -75 + 25a = -400 Add '75' to each side of the equation. -75 + 75 + 25a = -400 + 75 Combine like terms: -75 + 75 = 0 0 + 25a = -400 + 75 25a = -400 + 75 Combine like terms: -400 + 75 = -325 25a = -325 Divide each side by '25'. a = -13 Simplifying a = -13
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