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Simplifying 7a + -6 = 12a + -36 Reorder the terms: -6 + 7a = 12a + -36 Reorder the terms: -6 + 7a = -36 + 12a Solving -6 + 7a = -36 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -6 + 7a + -12a = -36 + 12a + -12a Combine like terms: 7a + -12a = -5a -6 + -5a = -36 + 12a + -12a Combine like terms: 12a + -12a = 0 -6 + -5a = -36 + 0 -6 + -5a = -36 Add '6' to each side of the equation. -6 + 6 + -5a = -36 + 6 Combine like terms: -6 + 6 = 0 0 + -5a = -36 + 6 -5a = -36 + 6 Combine like terms: -36 + 6 = -30 -5a = -30 Divide each side by '-5'. a = 6 Simplifying a = 6
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