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Simplifying 16 + -5a = 6a + -1(-2a + -2) Reorder the terms: 16 + -5a = 6a + -1(-2 + -2a) 16 + -5a = 6a + (-2 * -1 + -2a * -1) 16 + -5a = 6a + (2 + 2a) Reorder the terms: 16 + -5a = 2 + 6a + 2a Combine like terms: 6a + 2a = 8a 16 + -5a = 2 + 8a Solving 16 + -5a = 2 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 16 + -5a + -8a = 2 + 8a + -8a Combine like terms: -5a + -8a = -13a 16 + -13a = 2 + 8a + -8a Combine like terms: 8a + -8a = 0 16 + -13a = 2 + 0 16 + -13a = 2 Add '-16' to each side of the equation. 16 + -16 + -13a = 2 + -16 Combine like terms: 16 + -16 = 0 0 + -13a = 2 + -16 -13a = 2 + -16 Combine like terms: 2 + -16 = -14 -13a = -14 Divide each side by '-13'. a = 1.076923077 Simplifying a = 1.076923077
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