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Simplifying 4(2a + -8) = 0.142857(49a + 70) Reorder the terms: 4(-8 + 2a) = 0.142857(49a + 70) (-8 * 4 + 2a * 4) = 0.142857(49a + 70) (-32 + 8a) = 0.142857(49a + 70) Reorder the terms: -32 + 8a = 0.142857(70 + 49a) -32 + 8a = (70 * 0.142857 + 49a * 0.142857) -32 + 8a = (9.99999 + 6.999993a) Solving -32 + 8a = 9.99999 + 6.999993a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6.999993a' to each side of the equation. -32 + 8a + -6.999993a = 9.99999 + 6.999993a + -6.999993a Combine like terms: 8a + -6.999993a = 1.000007a -32 + 1.000007a = 9.99999 + 6.999993a + -6.999993a Combine like terms: 6.999993a + -6.999993a = 0.000000 -32 + 1.000007a = 9.99999 + 0.000000 -32 + 1.000007a = 9.99999 Add '32' to each side of the equation. -32 + 32 + 1.000007a = 9.99999 + 32 Combine like terms: -32 + 32 = 0 0 + 1.000007a = 9.99999 + 32 1.000007a = 9.99999 + 32 Combine like terms: 9.99999 + 32 = 41.99999 1.000007a = 41.99999 Divide each side by '1.000007'. a = 41.999696 Simplifying a = 41.999696
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