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Simplifying 6a + -5y + 12 + -7a = 0 Reorder the terms: 12 + 6a + -7a + -5y = 0 Combine like terms: 6a + -7a = -1a 12 + -1a + -5y = 0 Solving 12 + -1a + -5y = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -1a + -12 + -5y = 0 + -12 Reorder the terms: 12 + -12 + -1a + -5y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1a + -5y = 0 + -12 -1a + -5y = 0 + -12 Combine like terms: 0 + -12 = -12 -1a + -5y = -12 Add '5y' to each side of the equation. -1a + -5y + 5y = -12 + 5y Combine like terms: -5y + 5y = 0 -1a + 0 = -12 + 5y -1a = -12 + 5y Divide each side by '-1'. a = 12 + -5y Simplifying a = 12 + -5y
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