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Simplifying 3a + -6 + -7a = 12 + -2a + 6 Reorder the terms: -6 + 3a + -7a = 12 + -2a + 6 Combine like terms: 3a + -7a = -4a -6 + -4a = 12 + -2a + 6 Reorder the terms: -6 + -4a = 12 + 6 + -2a Combine like terms: 12 + 6 = 18 -6 + -4a = 18 + -2a Solving -6 + -4a = 18 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. -6 + -4a + 2a = 18 + -2a + 2a Combine like terms: -4a + 2a = -2a -6 + -2a = 18 + -2a + 2a Combine like terms: -2a + 2a = 0 -6 + -2a = 18 + 0 -6 + -2a = 18 Add '6' to each side of the equation. -6 + 6 + -2a = 18 + 6 Combine like terms: -6 + 6 = 0 0 + -2a = 18 + 6 -2a = 18 + 6 Combine like terms: 18 + 6 = 24 -2a = 24 Divide each side by '-2'. a = -12 Simplifying a = -12
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