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Simplifying 52(2a + 1) + -2(a + -4) = 2 Reorder the terms: 52(1 + 2a) + -2(a + -4) = 2 (1 * 52 + 2a * 52) + -2(a + -4) = 2 (52 + 104a) + -2(a + -4) = 2 Reorder the terms: 52 + 104a + -2(-4 + a) = 2 52 + 104a + (-4 * -2 + a * -2) = 2 52 + 104a + (8 + -2a) = 2 Reorder the terms: 52 + 8 + 104a + -2a = 2 Combine like terms: 52 + 8 = 60 60 + 104a + -2a = 2 Combine like terms: 104a + -2a = 102a 60 + 102a = 2 Solving 60 + 102a = 2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 102a = 2 + -60 Combine like terms: 60 + -60 = 0 0 + 102a = 2 + -60 102a = 2 + -60 Combine like terms: 2 + -60 = -58 102a = -58 Divide each side by '102'. a = -0.568627451 Simplifying a = -0.568627451
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