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Simplifying -1 = 2a + 4(1 + 2a) + 1 -1 = 2a + (1 * 4 + 2a * 4) + 1 -1 = 2a + (4 + 8a) + 1 Reorder the terms: -1 = 4 + 1 + 2a + 8a Combine like terms: 4 + 1 = 5 -1 = 5 + 2a + 8a Combine like terms: 2a + 8a = 10a -1 = 5 + 10a Solving -1 = 5 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -1 + -10a = 5 + 10a + -10a Combine like terms: 10a + -10a = 0 -1 + -10a = 5 + 0 -1 + -10a = 5 Add '1' to each side of the equation. -1 + 1 + -10a = 5 + 1 Combine like terms: -1 + 1 = 0 0 + -10a = 5 + 1 -10a = 5 + 1 Combine like terms: 5 + 1 = 6 -10a = 6 Divide each side by '-10'. a = -0.6 Simplifying a = -0.6
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