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Simplifying -6a + 16 = 2a + -40 Reorder the terms: 16 + -6a = 2a + -40 Reorder the terms: 16 + -6a = -40 + 2a Solving 16 + -6a = -40 + 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 = -40 + 2a + -2a Combine like terms: -6a + -2a = -8a 16 + -8a = -40 + 2a + -2a Combine like terms: 2a + -2a = 0 16 + -8a = -40 + 0 16 + -8a = -40 Add '-16' to each side of the equation. 16 + -16 + -8a = -40 + -16 Combine like terms: 16 + -16 = 0 0 + -8a = -40 + -16 -8a = -40 + -16 Combine like terms: -40 + -16 = -56 -8a = -56 Divide each side by '-8'. a = 7 Simplifying a = 7
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