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Simplifying 28 + a = -6(a + -7) Reorder the terms: 28 + a = -6(-7 + a) 28 + a = (-7 * -6 + a * -6) 28 + a = (42 + -6a) Solving 28 + a = 42 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 28 + a + 6a = 42 + -6a + 6a Combine like terms: a + 6a = 7a 28 + 7a = 42 + -6a + 6a Combine like terms: -6a + 6a = 0 28 + 7a = 42 + 0 28 + 7a = 42 Add '-28' to each side of the equation. 28 + -28 + 7a = 42 + -28 Combine like terms: 28 + -28 = 0 0 + 7a = 42 + -28 7a = 42 + -28 Combine like terms: 42 + -28 = 14 7a = 14 Divide each side by '7'. a = 2 Simplifying a = 2
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