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Simplifying 7(a + 8) + 13 = 4(a + -7) Reorder the terms: 7(8 + a) + 13 = 4(a + -7) (8 * 7 + a * 7) + 13 = 4(a + -7) (56 + 7a) + 13 = 4(a + -7) Reorder the terms: 56 + 13 + 7a = 4(a + -7) Combine like terms: 56 + 13 = 69 69 + 7a = 4(a + -7) Reorder the terms: 69 + 7a = 4(-7 + a) 69 + 7a = (-7 * 4 + a * 4) 69 + 7a = (-28 + 4a) Solving 69 + 7a = -28 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 69 + 7a + -4a = -28 + 4a + -4a Combine like terms: 7a + -4a = 3a 69 + 3a = -28 + 4a + -4a Combine like terms: 4a + -4a = 0 69 + 3a = -28 + 0 69 + 3a = -28 Add '-69' to each side of the equation. 69 + -69 + 3a = -28 + -69 Combine like terms: 69 + -69 = 0 0 + 3a = -28 + -69 3a = -28 + -69 Combine like terms: -28 + -69 = -97 3a = -97 Divide each side by '3'. a = -32.33333333 Simplifying a = -32.33333333
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