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Simplifying 7 + -1a = -3(a + -7) Reorder the terms: 7 + -1a = -3(-7 + a) 7 + -1a = (-7 * -3 + a * -3) 7 + -1a = (21 + -3a) Solving 7 + -1a = 21 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 7 + -1a + 3a = 21 + -3a + 3a Combine like terms: -1a + 3a = 2a 7 + 2a = 21 + -3a + 3a Combine like terms: -3a + 3a = 0 7 + 2a = 21 + 0 7 + 2a = 21 Add '-7' to each side of the equation. 7 + -7 + 2a = 21 + -7 Combine like terms: 7 + -7 = 0 0 + 2a = 21 + -7 2a = 21 + -7 Combine like terms: 21 + -7 = 14 2a = 14 Divide each side by '2'. a = 7 Simplifying a = 7
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