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Simplifying 5(a + -5) = -33 + 6a Reorder the terms: 5(-5 + a) = -33 + 6a (-5 * 5 + a * 5) = -33 + 6a (-25 + 5a) = -33 + 6a Solving -25 + 5a = -33 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -25 + 5a + -6a = -33 + 6a + -6a Combine like terms: 5a + -6a = -1a -25 + -1a = -33 + 6a + -6a Combine like terms: 6a + -6a = 0 -25 + -1a = -33 + 0 -25 + -1a = -33 Add '25' to each side of the equation. -25 + 25 + -1a = -33 + 25 Combine like terms: -25 + 25 = 0 0 + -1a = -33 + 25 -1a = -33 + 25 Combine like terms: -33 + 25 = -8 -1a = -8 Divide each side by '-1'. a = 8 Simplifying a = 8
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