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Simplifying 8(1 + -6a) + 8 + -2a = 258 (1 * 8 + -6a * 8) + 8 + -2a = 258 (8 + -48a) + 8 + -2a = 258 Reorder the terms: 8 + 8 + -48a + -2a = 258 Combine like terms: 8 + 8 = 16 16 + -48a + -2a = 258 Combine like terms: -48a + -2a = -50a 16 + -50a = 258 Solving 16 + -50a = 258 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -50a = 258 + -16 Combine like terms: 16 + -16 = 0 0 + -50a = 258 + -16 -50a = 258 + -16 Combine like terms: 258 + -16 = 242 -50a = 242 Divide each side by '-50'. a = -4.84 Simplifying a = -4.84
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