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Simplifying 4(a + -5) = 5(5 + 2a) Reorder the terms: 4(-5 + a) = 5(5 + 2a) (-5 * 4 + a * 4) = 5(5 + 2a) (-20 + 4a) = 5(5 + 2a) -20 + 4a = (5 * 5 + 2a * 5) -20 + 4a = (25 + 10a) Solving -20 + 4a = 25 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -20 + 4a + -10a = 25 + 10a + -10a Combine like terms: 4a + -10a = -6a -20 + -6a = 25 + 10a + -10a Combine like terms: 10a + -10a = 0 -20 + -6a = 25 + 0 -20 + -6a = 25 Add '20' to each side of the equation. -20 + 20 + -6a = 25 + 20 Combine like terms: -20 + 20 = 0 0 + -6a = 25 + 20 -6a = 25 + 20 Combine like terms: 25 + 20 = 45 -6a = 45 Divide each side by '-6'. a = -7.5 Simplifying a = -7.5
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