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Simplifying -258 = -2a + 8(1 + -6a) -258 = -2a + (1 * 8 + -6a * 8) -258 = -2a + (8 + -48a) Reorder the terms: -258 = 8 + -2a + -48a Combine like terms: -2a + -48a = -50a -258 = 8 + -50a Solving -258 = 8 + -50a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '50a' to each side of the equation. -258 + 50a = 8 + -50a + 50a Combine like terms: -50a + 50a = 0 -258 + 50a = 8 + 0 -258 + 50a = 8 Add '258' to each side of the equation. -258 + 258 + 50a = 8 + 258 Combine like terms: -258 + 258 = 0 0 + 50a = 8 + 258 50a = 8 + 258 Combine like terms: 8 + 258 = 266 50a = 266 Divide each side by '50'. a = 5.32 Simplifying a = 5.32
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