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Simplifying -7(-1 + -21a) = (15 + -25a) (-1 * -7 + -21a * -7) = (15 + -25a) (7 + 147a) = (15 + -25a) Remove parenthesis around (15 + -25a) 7 + 147a = 15 + -25a Solving 7 + 147a = 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 + 147a + 25a = 15 + -25a + 25a Combine like terms: 147a + 25a = 172a 7 + 172a = 15 + -25a + 25a Combine like terms: -25a + 25a = 0 7 + 172a = 15 + 0 7 + 172a = 15 Add '-7' to each side of the equation. 7 + -7 + 172a = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 172a = 15 + -7 172a = 15 + -7 Combine like terms: 15 + -7 = 8 172a = 8 Divide each side by '172'. a = 0.04651162791 Simplifying a = 0.04651162791
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