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Simplifying 5(3a + 5) = 4a + -8 Reorder the terms: 5(5 + 3a) = 4a + -8 (5 * 5 + 3a * 5) = 4a + -8 (25 + 15a) = 4a + -8 Reorder the terms: 25 + 15a = -8 + 4a Solving 25 + 15a = -8 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 25 + 15a + -4a = -8 + 4a + -4a Combine like terms: 15a + -4a = 11a 25 + 11a = -8 + 4a + -4a Combine like terms: 4a + -4a = 0 25 + 11a = -8 + 0 25 + 11a = -8 Add '-25' to each side of the equation. 25 + -25 + 11a = -8 + -25 Combine like terms: 25 + -25 = 0 0 + 11a = -8 + -25 11a = -8 + -25 Combine like terms: -8 + -25 = -33 11a = -33 Divide each side by '11'. a = -3 Simplifying a = -3
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