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Simplifying 7a + -16 = 3 + 12a + 6 Reorder the terms: -16 + 7a = 3 + 12a + 6 Reorder the terms: -16 + 7a = 3 + 6 + 12a Combine like terms: 3 + 6 = 9 -16 + 7a = 9 + 12a Solving -16 + 7a = 9 + 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. -16 + 7a + -12a = 9 + 12a + -12a Combine like terms: 7a + -12a = -5a -16 + -5a = 9 + 12a + -12a Combine like terms: 12a + -12a = 0 -16 + -5a = 9 + 0 -16 + -5a = 9 Add '16' to each side of the equation. -16 + 16 + -5a = 9 + 16 Combine like terms: -16 + 16 = 0 0 + -5a = 9 + 16 -5a = 9 + 16 Combine like terms: 9 + 16 = 25 -5a = 25 Divide each side by '-5'. a = -5 Simplifying a = -5
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