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Simplifying 8a + 1 = 16(2a + -1) Reorder the terms: 1 + 8a = 16(2a + -1) Reorder the terms: 1 + 8a = 16(-1 + 2a) 1 + 8a = (-1 * 16 + 2a * 16) 1 + 8a = (-16 + 32a) Solving 1 + 8a = -16 + 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. 1 + 8a + -32a = -16 + 32a + -32a Combine like terms: 8a + -32a = -24a 1 + -24a = -16 + 32a + -32a Combine like terms: 32a + -32a = 0 1 + -24a = -16 + 0 1 + -24a = -16 Add '-1' to each side of the equation. 1 + -1 + -24a = -16 + -1 Combine like terms: 1 + -1 = 0 0 + -24a = -16 + -1 -24a = -16 + -1 Combine like terms: -16 + -1 = -17 -24a = -17 Divide each side by '-24'. a = 0.7083333333 Simplifying a = 0.7083333333
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