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Simplifying 0.4(2a + -0.8) = 0.14(4.9a + 7) Reorder the terms: 0.4(-0.8 + 2a) = 0.14(4.9a + 7) (-0.8 * 0.4 + 2a * 0.4) = 0.14(4.9a + 7) (-0.32 + 0.8a) = 0.14(4.9a + 7) Reorder the terms: -0.32 + 0.8a = 0.14(7 + 4.9a) -0.32 + 0.8a = (7 * 0.14 + 4.9a * 0.14) -0.32 + 0.8a = (0.98 + 0.686a) Solving -0.32 + 0.8a = 0.98 + 0.686a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.686a' to each side of the equation. -0.32 + 0.8a + -0.686a = 0.98 + 0.686a + -0.686a Combine like terms: 0.8a + -0.686a = 0.114a -0.32 + 0.114a = 0.98 + 0.686a + -0.686a Combine like terms: 0.686a + -0.686a = 0.000 -0.32 + 0.114a = 0.98 + 0.000 -0.32 + 0.114a = 0.98 Add '0.32' to each side of the equation. -0.32 + 0.32 + 0.114a = 0.98 + 0.32 Combine like terms: -0.32 + 0.32 = 0.00 0.00 + 0.114a = 0.98 + 0.32 0.114a = 0.98 + 0.32 Combine like terms: 0.98 + 0.32 = 1.3 0.114a = 1.3 Divide each side by '0.114'. a = 11.40350877 Simplifying a = 11.40350877
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