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Simplifying -1(3a + 8) = -33 + 2a Reorder the terms: -1(8 + 3a) = -33 + 2a (8 * -1 + 3a * -1) = -33 + 2a (-8 + -3a) = -33 + 2a Solving -8 + -3a = -33 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -8 + -3a + -2a = -33 + 2a + -2a Combine like terms: -3a + -2a = -5a -8 + -5a = -33 + 2a + -2a Combine like terms: 2a + -2a = 0 -8 + -5a = -33 + 0 -8 + -5a = -33 Add '8' to each side of the equation. -8 + 8 + -5a = -33 + 8 Combine like terms: -8 + 8 = 0 0 + -5a = -33 + 8 -5a = -33 + 8 Combine like terms: -33 + 8 = -25 -5a = -25 Divide each side by '-5'. a = 5 Simplifying a = 5
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