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Simplifying 5(5 + -1a) = 33 + -3a (5 * 5 + -1a * 5) = 33 + -3a (25 + -5a) = 33 + -3a Solving 25 + -5a = 33 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 25 + -5a + 3a = 33 + -3a + 3a Combine like terms: -5a + 3a = -2a 25 + -2a = 33 + -3a + 3a Combine like terms: -3a + 3a = 0 25 + -2a = 33 + 0 25 + -2a = 33 Add '-25' to each side of the equation. 25 + -25 + -2a = 33 + -25 Combine like terms: 25 + -25 = 0 0 + -2a = 33 + -25 -2a = 33 + -25 Combine like terms: 33 + -25 = 8 -2a = 8 Divide each side by '-2'. a = -4 Simplifying a = -4
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