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Simplifying -196 = 4 + 8(4a + -1) Reorder the terms: -196 = 4 + 8(-1 + 4a) -196 = 4 + (-1 * 8 + 4a * 8) -196 = 4 + (-8 + 32a) Combine like terms: 4 + -8 = -4 -196 = -4 + 32a Solving -196 = -4 + 32a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-32a' to each side of the equation. -196 + -32a = -4 + 32a + -32a Combine like terms: 32a + -32a = 0 -196 + -32a = -4 + 0 -196 + -32a = -4 Add '196' to each side of the equation. -196 + 196 + -32a = -4 + 196 Combine like terms: -196 + 196 = 0 0 + -32a = -4 + 196 -32a = -4 + 196 Combine like terms: -4 + 196 = 192 -32a = 192 Divide each side by '-32'. a = -6 Simplifying a = -6
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