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Simplifying -6 + -4(-7 + -3a) = 7(a + 1) -6 + (-7 * -4 + -3a * -4) = 7(a + 1) -6 + (28 + 12a) = 7(a + 1) Combine like terms: -6 + 28 = 22 22 + 12a = 7(a + 1) Reorder the terms: 22 + 12a = 7(1 + a) 22 + 12a = (1 * 7 + a * 7) 22 + 12a = (7 + 7a) Solving 22 + 12a = 7 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 22 + 12a + -7a = 7 + 7a + -7a Combine like terms: 12a + -7a = 5a 22 + 5a = 7 + 7a + -7a Combine like terms: 7a + -7a = 0 22 + 5a = 7 + 0 22 + 5a = 7 Add '-22' to each side of the equation. 22 + -22 + 5a = 7 + -22 Combine like terms: 22 + -22 = 0 0 + 5a = 7 + -22 5a = 7 + -22 Combine like terms: 7 + -22 = -15 5a = -15 Divide each side by '5'. a = -3 Simplifying a = -3
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