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Simplifying 0.4(2a + -0.8) = 0.1428(4.9a + 7) Reorder the terms: 0.4(-0.8 + 2a) = 0.1428(4.9a + 7) (-0.8 * 0.4 + 2a * 0.4) = 0.1428(4.9a + 7) (-0.32 + 0.8a) = 0.1428(4.9a + 7) Reorder the terms: -0.32 + 0.8a = 0.1428(7 + 4.9a) -0.32 + 0.8a = (7 * 0.1428 + 4.9a * 0.1428) -0.32 + 0.8a = (0.9996 + 0.69972a) Solving -0.32 + 0.8a = 0.9996 + 0.69972a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.69972a' to each side of the equation. -0.32 + 0.8a + -0.69972a = 0.9996 + 0.69972a + -0.69972a Combine like terms: 0.8a + -0.69972a = 0.10028a -0.32 + 0.10028a = 0.9996 + 0.69972a + -0.69972a Combine like terms: 0.69972a + -0.69972a = 0.00000 -0.32 + 0.10028a = 0.9996 + 0.00000 -0.32 + 0.10028a = 0.9996 Add '0.32' to each side of the equation. -0.32 + 0.32 + 0.10028a = 0.9996 + 0.32 Combine like terms: -0.32 + 0.32 = 0.00 0.00 + 0.10028a = 0.9996 + 0.32 0.10028a = 0.9996 + 0.32 Combine like terms: 0.9996 + 0.32 = 1.3196 0.10028a = 1.3196 Divide each side by '0.10028'. a = 13.15915437 Simplifying a = 13.15915437
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