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Simplifying -21 + -8a = -5(a + 5) Reorder the terms: -21 + -8a = -5(5 + a) -21 + -8a = (5 * -5 + a * -5) -21 + -8a = (-25 + -5a) Solving -21 + -8a = -25 + -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 = -25 + -5a + 5a Combine like terms: -8a + 5a = -3a -21 + -3a = -25 + -5a + 5a Combine like terms: -5a + 5a = 0 -21 + -3a = -25 + 0 -21 + -3a = -25 Add '21' to each side of the equation. -21 + 21 + -3a = -25 + 21 Combine like terms: -21 + 21 = 0 0 + -3a = -25 + 21 -3a = -25 + 21 Combine like terms: -25 + 21 = -4 -3a = -4 Divide each side by '-3'. a = 1.333333333 Simplifying a = 1.333333333
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