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Simplifying -3a + -41 = -5(a + 5) Reorder the terms: -41 + -3a = -5(a + 5) Reorder the terms: -41 + -3a = -5(5 + a) -41 + -3a = (5 * -5 + a * -5) -41 + -3a = (-25 + -5a) Solving -41 + -3a = -25 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. -41 + -3a + 5a = -25 + -5a + 5a Combine like terms: -3a + 5a = 2a -41 + 2a = -25 + -5a + 5a Combine like terms: -5a + 5a = 0 -41 + 2a = -25 + 0 -41 + 2a = -25 Add '41' to each side of the equation. -41 + 41 + 2a = -25 + 41 Combine like terms: -41 + 41 = 0 0 + 2a = -25 + 41 2a = -25 + 41 Combine like terms: -25 + 41 = 16 2a = 16 Divide each side by '2'. a = 8 Simplifying a = 8
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