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Simplifying 15 + 5(a + -5) = 4 + -2a Reorder the terms: 15 + 5(-5 + a) = 4 + -2a 15 + (-5 * 5 + a * 5) = 4 + -2a 15 + (-25 + 5a) = 4 + -2a Combine like terms: 15 + -25 = -10 -10 + 5a = 4 + -2a Solving -10 + 5a = 4 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. -10 + 5a + 2a = 4 + -2a + 2a Combine like terms: 5a + 2a = 7a -10 + 7a = 4 + -2a + 2a Combine like terms: -2a + 2a = 0 -10 + 7a = 4 + 0 -10 + 7a = 4 Add '10' to each side of the equation. -10 + 10 + 7a = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 7a = 4 + 10 7a = 4 + 10 Combine like terms: 4 + 10 = 14 7a = 14 Divide each side by '7'. a = 2 Simplifying a = 2
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