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Simplifying 6a + 16 = 2a + -12 Reorder the terms: 16 + 6a = 2a + -12 Reorder the terms: 16 + 6a = -12 + 2a Solving 16 + 6a = -12 + 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. 16 + 6a + -2a = -12 + 2a + -2a Combine like terms: 6a + -2a = 4a 16 + 4a = -12 + 2a + -2a Combine like terms: 2a + -2a = 0 16 + 4a = -12 + 0 16 + 4a = -12 Add '-16' to each side of the equation. 16 + -16 + 4a = -12 + -16 Combine like terms: 16 + -16 = 0 0 + 4a = -12 + -16 4a = -12 + -16 Combine like terms: -12 + -16 = -28 4a = -28 Divide each side by '4'. a = -7 Simplifying a = -7
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