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Simplifying 7(1 + 3a) = -7(-5a + -3) (1 * 7 + 3a * 7) = -7(-5a + -3) (7 + 21a) = -7(-5a + -3) Reorder the terms: 7 + 21a = -7(-3 + -5a) 7 + 21a = (-3 * -7 + -5a * -7) 7 + 21a = (21 + 35a) Solving 7 + 21a = 21 + 35a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-35a' to each side of the equation. 7 + 21a + -35a = 21 + 35a + -35a Combine like terms: 21a + -35a = -14a 7 + -14a = 21 + 35a + -35a Combine like terms: 35a + -35a = 0 7 + -14a = 21 + 0 7 + -14a = 21 Add '-7' to each side of the equation. 7 + -7 + -14a = 21 + -7 Combine like terms: 7 + -7 = 0 0 + -14a = 21 + -7 -14a = 21 + -7 Combine like terms: 21 + -7 = 14 -14a = 14 Divide each side by '-14'. a = -1 Simplifying a = -1
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