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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 = -9 -3a = -9 Divide each side by '-3'. a = 3 Simplifying a = 3
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