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Simplifying 4(2a + -8) = 0.14285714285(49a + 70) Reorder the terms: 4(-8 + 2a) = 0.14285714285(49a + 70) (-8 * 4 + 2a * 4) = 0.14285714285(49a + 70) (-32 + 8a) = 0.14285714285(49a + 70) Reorder the terms: -32 + 8a = 0.14285714285(70 + 49a) -32 + 8a = (70 * 0.14285714285 + 49a * 0.14285714285) -32 + 8a = (10 + 7a) Solving -32 + 8a = 10 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -32 + 8a + -7a = 10 + 7a + -7a Combine like terms: 8a + -7a = 1a -32 + 1a = 10 + 7a + -7a Combine like terms: 7a + -7a = 0 -32 + 1a = 10 + 0 -32 + 1a = 10 Add '32' to each side of the equation. -32 + 32 + 1a = 10 + 32 Combine like terms: -32 + 32 = 0 0 + 1a = 10 + 32 1a = 10 + 32 Combine like terms: 10 + 32 = 42 1a = 42 Divide each side by '1'. a = 42 Simplifying a = 42
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