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Simplifying 21 + -8a = -5(a + 6) Reorder the terms: 21 + -8a = -5(6 + a) 21 + -8a = (6 * -5 + a * -5) 21 + -8a = (-30 + -5a) Solving 21 + -8a = -30 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 21 + -8a + 5a = -30 + -5a + 5a Combine like terms: -8a + 5a = -3a 21 + -3a = -30 + -5a + 5a Combine like terms: -5a + 5a = 0 21 + -3a = -30 + 0 21 + -3a = -30 Add '-21' to each side of the equation. 21 + -21 + -3a = -30 + -21 Combine like terms: 21 + -21 = 0 0 + -3a = -30 + -21 -3a = -30 + -21 Combine like terms: -30 + -21 = -51 -3a = -51 Divide each side by '-3'. a = 17 Simplifying a = 17
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