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Simplifying -7(-1 + 3a) = 5(3 + -5a) (-1 * -7 + 3a * -7) = 5(3 + -5a) (7 + -21a) = 5(3 + -5a) 7 + -21a = (3 * 5 + -5a * 5) 7 + -21a = (15 + -25a) Solving 7 + -21a = 15 + -25a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '25a' to each side of the equation. 7 + -21a + 25a = 15 + -25a + 25a Combine like terms: -21a + 25a = 4a 7 + 4a = 15 + -25a + 25a Combine like terms: -25a + 25a = 0 7 + 4a = 15 + 0 7 + 4a = 15 Add '-7' to each side of the equation. 7 + -7 + 4a = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 4a = 15 + -7 4a = 15 + -7 Combine like terms: 15 + -7 = 8 4a = 8 Divide each side by '4'. a = 2 Simplifying a = 2
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