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Simplifying 21 + a = -8 + 8(a + 8) Reorder the terms: 21 + a = -8 + 8(8 + a) 21 + a = -8 + (8 * 8 + a * 8) 21 + a = -8 + (64 + 8a) Combine like terms: -8 + 64 = 56 21 + a = 56 + 8a Solving 21 + a = 56 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 21 + a + -8a = 56 + 8a + -8a Combine like terms: a + -8a = -7a 21 + -7a = 56 + 8a + -8a Combine like terms: 8a + -8a = 0 21 + -7a = 56 + 0 21 + -7a = 56 Add '-21' to each side of the equation. 21 + -21 + -7a = 56 + -21 Combine like terms: 21 + -21 = 0 0 + -7a = 56 + -21 -7a = 56 + -21 Combine like terms: 56 + -21 = 35 -7a = 35 Divide each side by '-7'. a = -5 Simplifying a = -5
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