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Simplifying 20(a + -1) = 15(a + 2) Reorder the terms: 20(-1 + a) = 15(a + 2) (-1 * 20 + a * 20) = 15(a + 2) (-20 + 20a) = 15(a + 2) Reorder the terms: -20 + 20a = 15(2 + a) -20 + 20a = (2 * 15 + a * 15) -20 + 20a = (30 + 15a) Solving -20 + 20a = 30 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. -20 + 20a + -15a = 30 + 15a + -15a Combine like terms: 20a + -15a = 5a -20 + 5a = 30 + 15a + -15a Combine like terms: 15a + -15a = 0 -20 + 5a = 30 + 0 -20 + 5a = 30 Add '20' to each side of the equation. -20 + 20 + 5a = 30 + 20 Combine like terms: -20 + 20 = 0 0 + 5a = 30 + 20 5a = 30 + 20 Combine like terms: 30 + 20 = 50 5a = 50 Divide each side by '5'. a = 10 Simplifying a = 10
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