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Simplifying -28 + 6a = 6a + -7(a + -4) Reorder the terms: -28 + 6a = 6a + -7(-4 + a) -28 + 6a = 6a + (-4 * -7 + a * -7) -28 + 6a = 6a + (28 + -7a) Reorder the terms: -28 + 6a = 28 + 6a + -7a Combine like terms: 6a + -7a = -1a -28 + 6a = 28 + -1a Solving -28 + 6a = 28 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -28 + 6a + a = 28 + -1a + a Combine like terms: 6a + a = 7a -28 + 7a = 28 + -1a + a Combine like terms: -1a + a = 0 -28 + 7a = 28 + 0 -28 + 7a = 28 Add '28' to each side of the equation. -28 + 28 + 7a = 28 + 28 Combine like terms: -28 + 28 = 0 0 + 7a = 28 + 28 7a = 28 + 28 Combine like terms: 28 + 28 = 56 7a = 56 Divide each side by '7'. a = 8 Simplifying a = 8
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