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Simplifying -33 + -7a = -6(a + 6) Reorder the terms: -33 + -7a = -6(6 + a) -33 + -7a = (6 * -6 + a * -6) -33 + -7a = (-36 + -6a) Solving -33 + -7a = -36 + -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. -33 + -7a + 6a = -36 + -6a + 6a Combine like terms: -7a + 6a = -1a -33 + -1a = -36 + -6a + 6a Combine like terms: -6a + 6a = 0 -33 + -1a = -36 + 0 -33 + -1a = -36 Add '33' to each side of the equation. -33 + 33 + -1a = -36 + 33 Combine like terms: -33 + 33 = 0 0 + -1a = -36 + 33 -1a = -36 + 33 Combine like terms: -36 + 33 = -3 -1a = -3 Divide each side by '-1'. a = 3 Simplifying a = 3
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