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Simplifying -6(a + -2) = 3(7 + 2a) + 33 Reorder the terms: -6(-2 + a) = 3(7 + 2a) + 33 (-2 * -6 + a * -6) = 3(7 + 2a) + 33 (12 + -6a) = 3(7 + 2a) + 33 12 + -6a = (7 * 3 + 2a * 3) + 33 12 + -6a = (21 + 6a) + 33 Reorder the terms: 12 + -6a = 21 + 33 + 6a Combine like terms: 21 + 33 = 54 12 + -6a = 54 + 6a Solving 12 + -6a = 54 + 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. 12 + -6a + -6a = 54 + 6a + -6a Combine like terms: -6a + -6a = -12a 12 + -12a = 54 + 6a + -6a Combine like terms: 6a + -6a = 0 12 + -12a = 54 + 0 12 + -12a = 54 Add '-12' to each side of the equation. 12 + -12 + -12a = 54 + -12 Combine like terms: 12 + -12 = 0 0 + -12a = 54 + -12 -12a = 54 + -12 Combine like terms: 54 + -12 = 42 -12a = 42 Divide each side by '-12'. a = -3.5 Simplifying a = -3.5
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