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Simplifying -21 + -89 = -1 + 6(4 + -5a) Combine like terms: -21 + -89 = -110 -110 = -1 + 6(4 + -5a) -110 = -1 + (4 * 6 + -5a * 6) -110 = -1 + (24 + -30a) Combine like terms: -1 + 24 = 23 -110 = 23 + -30a Solving -110 = 23 + -30a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '30a' to each side of the equation. -110 + 30a = 23 + -30a + 30a Combine like terms: -30a + 30a = 0 -110 + 30a = 23 + 0 -110 + 30a = 23 Add '110' to each side of the equation. -110 + 110 + 30a = 23 + 110 Combine like terms: -110 + 110 = 0 0 + 30a = 23 + 110 30a = 23 + 110 Combine like terms: 23 + 110 = 133 30a = 133 Divide each side by '30'. a = 4.433333333 Simplifying a = 4.433333333
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