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Simplifying 11 + -4(a + 20) = 8 + a Reorder the terms: 11 + -4(20 + a) = 8 + a 11 + (20 * -4 + a * -4) = 8 + a 11 + (-80 + -4a) = 8 + a Combine like terms: 11 + -80 = -69 -69 + -4a = 8 + a Solving -69 + -4a = 8 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -69 + -4a + -1a = 8 + a + -1a Combine like terms: -4a + -1a = -5a -69 + -5a = 8 + a + -1a Combine like terms: a + -1a = 0 -69 + -5a = 8 + 0 -69 + -5a = 8 Add '69' to each side of the equation. -69 + 69 + -5a = 8 + 69 Combine like terms: -69 + 69 = 0 0 + -5a = 8 + 69 -5a = 8 + 69 Combine like terms: 8 + 69 = 77 -5a = 77 Divide each side by '-5'. a = -15.4 Simplifying a = -15.4
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