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Simplifying 8(-5a + -1) = 33 + a Reorder the terms: 8(-1 + -5a) = 33 + a (-1 * 8 + -5a * 8) = 33 + a (-8 + -40a) = 33 + a Solving -8 + -40a = 33 + 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. -8 + -40a + -1a = 33 + a + -1a Combine like terms: -40a + -1a = -41a -8 + -41a = 33 + a + -1a Combine like terms: a + -1a = 0 -8 + -41a = 33 + 0 -8 + -41a = 33 Add '8' to each side of the equation. -8 + 8 + -41a = 33 + 8 Combine like terms: -8 + 8 = 0 0 + -41a = 33 + 8 -41a = 33 + 8 Combine like terms: 33 + 8 = 41 -41a = 41 Divide each side by '-41'. a = -1 Simplifying a = -1
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