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Simplifying -16 = -2 + 2(a + 6) Reorder the terms: -16 = -2 + 2(6 + a) -16 = -2 + (6 * 2 + a * 2) -16 = -2 + (12 + 2a) Combine like terms: -2 + 12 = 10 -16 = 10 + 2a Solving -16 = 10 + 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 + -2a = 10 + 2a + -2a Combine like terms: 2a + -2a = 0 -16 + -2a = 10 + 0 -16 + -2a = 10 Add '16' to each side of the equation. -16 + 16 + -2a = 10 + 16 Combine like terms: -16 + 16 = 0 0 + -2a = 10 + 16 -2a = 10 + 16 Combine like terms: 10 + 16 = 26 -2a = 26 Divide each side by '-2'. a = -13 Simplifying a = -13
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