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Simplifying 2a + 16 = 4a + -6 Reorder the terms: 16 + 2a = 4a + -6 Reorder the terms: 16 + 2a = -6 + 4a Solving 16 + 2a = -6 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 16 + 2a + -4a = -6 + 4a + -4a Combine like terms: 2a + -4a = -2a 16 + -2a = -6 + 4a + -4a Combine like terms: 4a + -4a = 0 16 + -2a = -6 + 0 16 + -2a = -6 Add '-16' to each side of the equation. 16 + -16 + -2a = -6 + -16 Combine like terms: 16 + -16 = 0 0 + -2a = -6 + -16 -2a = -6 + -16 Combine like terms: -6 + -16 = -22 -2a = -22 Divide each side by '-2'. a = 11 Simplifying a = 11
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