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Simplifying -4(a + -1) + -3a = -7(2a + -3) Reorder the terms: -4(-1 + a) + -3a = -7(2a + -3) (-1 * -4 + a * -4) + -3a = -7(2a + -3) (4 + -4a) + -3a = -7(2a + -3) Combine like terms: -4a + -3a = -7a 4 + -7a = -7(2a + -3) Reorder the terms: 4 + -7a = -7(-3 + 2a) 4 + -7a = (-3 * -7 + 2a * -7) 4 + -7a = (21 + -14a) Solving 4 + -7a = 21 + -14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14a' to each side of the equation. 4 + -7a + 14a = 21 + -14a + 14a Combine like terms: -7a + 14a = 7a 4 + 7a = 21 + -14a + 14a Combine like terms: -14a + 14a = 0 4 + 7a = 21 + 0 4 + 7a = 21 Add '-4' to each side of the equation. 4 + -4 + 7a = 21 + -4 Combine like terms: 4 + -4 = 0 0 + 7a = 21 + -4 7a = 21 + -4 Combine like terms: 21 + -4 = 17 7a = 17 Divide each side by '7'. a = 2.428571429 Simplifying a = 2.428571429
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