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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 = -13a -21 + -13a = 30 + 5a + -5a Combine like terms: 5a + -5a = 0 -21 + -13a = 30 + 0 -21 + -13a = 30 Add '21' to each side of the equation. -21 + 21 + -13a = 30 + 21 Combine like terms: -21 + 21 = 0 0 + -13a = 30 + 21 -13a = 30 + 21 Combine like terms: 30 + 21 = 51 -13a = 51 Divide each side by '-13'. a = -3.923076923 Simplifying a = -3.923076923
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