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Simplifying -33 + -2a = a + -3(-5 + -1a) -33 + -2a = a + (-5 * -3 + -1a * -3) -33 + -2a = a + (15 + 3a) Reorder the terms: -33 + -2a = 15 + a + 3a Combine like terms: a + 3a = 4a -33 + -2a = 15 + 4a Solving -33 + -2a = 15 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -33 + -2a + -4a = 15 + 4a + -4a Combine like terms: -2a + -4a = -6a -33 + -6a = 15 + 4a + -4a Combine like terms: 4a + -4a = 0 -33 + -6a = 15 + 0 -33 + -6a = 15 Add '33' to each side of the equation. -33 + 33 + -6a = 15 + 33 Combine like terms: -33 + 33 = 0 0 + -6a = 15 + 33 -6a = 15 + 33 Combine like terms: 15 + 33 = 48 -6a = 48 Divide each side by '-6'. a = -8 Simplifying a = -8
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