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Simplifying -7(a + -1) + -3a = -7(a + -4) Reorder the terms: -7(-1 + a) + -3a = -7(a + -4) (-1 * -7 + a * -7) + -3a = -7(a + -4) (7 + -7a) + -3a = -7(a + -4) Combine like terms: -7a + -3a = -10a 7 + -10a = -7(a + -4) Reorder the terms: 7 + -10a = -7(-4 + a) 7 + -10a = (-4 * -7 + a * -7) 7 + -10a = (28 + -7a) Solving 7 + -10a = 28 + -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. 7 + -10a + 7a = 28 + -7a + 7a Combine like terms: -10a + 7a = -3a 7 + -3a = 28 + -7a + 7a Combine like terms: -7a + 7a = 0 7 + -3a = 28 + 0 7 + -3a = 28 Add '-7' to each side of the equation. 7 + -7 + -3a = 28 + -7 Combine like terms: 7 + -7 = 0 0 + -3a = 28 + -7 -3a = 28 + -7 Combine like terms: 28 + -7 = 21 -3a = 21 Divide each side by '-3'. a = -7 Simplifying a = -7
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