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Simplifying 2 + -7(-8a + 1) = 4a + 6 Reorder the terms: 2 + -7(1 + -8a) = 4a + 6 2 + (1 * -7 + -8a * -7) = 4a + 6 2 + (-7 + 56a) = 4a + 6 Combine like terms: 2 + -7 = -5 -5 + 56a = 4a + 6 Reorder the terms: -5 + 56a = 6 + 4a Solving -5 + 56a = 6 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -5 + 56a + -4a = 6 + 4a + -4a Combine like terms: 56a + -4a = 52a -5 + 52a = 6 + 4a + -4a Combine like terms: 4a + -4a = 0 -5 + 52a = 6 + 0 -5 + 52a = 6 Add '5' to each side of the equation. -5 + 5 + 52a = 6 + 5 Combine like terms: -5 + 5 = 0 0 + 52a = 6 + 5 52a = 6 + 5 Combine like terms: 6 + 5 = 11 52a = 11 Divide each side by '52'. a = 0.2115384615 Simplifying a = 0.2115384615
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