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Simplifying -5(a + -5) + -6a = 33 + -7a Reorder the terms: -5(-5 + a) + -6a = 33 + -7a (-5 * -5 + a * -5) + -6a = 33 + -7a (25 + -5a) + -6a = 33 + -7a Combine like terms: -5a + -6a = -11a 25 + -11a = 33 + -7a Solving 25 + -11a = 33 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. 25 + -11a + 7a = 33 + -7a + 7a Combine like terms: -11a + 7a = -4a 25 + -4a = 33 + -7a + 7a Combine like terms: -7a + 7a = 0 25 + -4a = 33 + 0 25 + -4a = 33 Add '-25' to each side of the equation. 25 + -25 + -4a = 33 + -25 Combine like terms: 25 + -25 = 0 0 + -4a = 33 + -25 -4a = 33 + -25 Combine like terms: 33 + -25 = 8 -4a = 8 Divide each side by '-4'. a = -2 Simplifying a = -2
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