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Simplifying -160 = 8 + -8(-6a + -3) Reorder the terms: -160 = 8 + -8(-3 + -6a) -160 = 8 + (-3 * -8 + -6a * -8) -160 = 8 + (24 + 48a) Combine like terms: 8 + 24 = 32 -160 = 32 + 48a Solving -160 = 32 + 48a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-48a' to each side of the equation. -160 + -48a = 32 + 48a + -48a Combine like terms: 48a + -48a = 0 -160 + -48a = 32 + 0 -160 + -48a = 32 Add '160' to each side of the equation. -160 + 160 + -48a = 32 + 160 Combine like terms: -160 + 160 = 0 0 + -48a = 32 + 160 -48a = 32 + 160 Combine like terms: 32 + 160 = 192 -48a = 192 Divide each side by '-48'. a = -4 Simplifying a = -4
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