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Simplifying -7(-3 + a) = -1a + 5(-4a + 7) (-3 * -7 + a * -7) = -1a + 5(-4a + 7) (21 + -7a) = -1a + 5(-4a + 7) Reorder the terms: 21 + -7a = -1a + 5(7 + -4a) 21 + -7a = -1a + (7 * 5 + -4a * 5) 21 + -7a = -1a + (35 + -20a) Reorder the terms: 21 + -7a = 35 + -1a + -20a Combine like terms: -1a + -20a = -21a 21 + -7a = 35 + -21a Solving 21 + -7a = 35 + -21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21a' to each side of the equation. 21 + -7a + 21a = 35 + -21a + 21a Combine like terms: -7a + 21a = 14a 21 + 14a = 35 + -21a + 21a Combine like terms: -21a + 21a = 0 21 + 14a = 35 + 0 21 + 14a = 35 Add '-21' to each side of the equation. 21 + -21 + 14a = 35 + -21 Combine like terms: 21 + -21 = 0 0 + 14a = 35 + -21 14a = 35 + -21 Combine like terms: 35 + -21 = 14 14a = 14 Divide each side by '14'. a = 1 Simplifying a = 1
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