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Simplifying -6a + 6 + -6a + -42 + -3a + 6 = 0 Reorder the terms: 6 + -42 + 6 + -6a + -6a + -3a = 0 Combine like terms: 6 + -42 = -36 -36 + 6 + -6a + -6a + -3a = 0 Combine like terms: -36 + 6 = -30 -30 + -6a + -6a + -3a = 0 Combine like terms: -6a + -6a = -12a -30 + -12a + -3a = 0 Combine like terms: -12a + -3a = -15a -30 + -15a = 0 Solving -30 + -15a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -15a = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -15a = 0 + 30 -15a = 0 + 30 Combine like terms: 0 + 30 = 30 -15a = 30 Divide each side by '-15'. a = -2 Simplifying a = -2
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