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Simplifying 0.57(x + a) + -4(0.2 + -2t) = t + -2 Reorder the terms: 0.57(a + x) + -4(0.2 + -2t) = t + -2 (a * 0.57 + x * 0.57) + -4(0.2 + -2t) = t + -2 (0.57a + 0.57x) + -4(0.2 + -2t) = t + -2 0.57a + 0.57x + (0.2 * -4 + -2t * -4) = t + -2 0.57a + 0.57x + (-0.8 + 8t) = t + -2 Reorder the terms: -0.8 + 0.57a + 8t + 0.57x = t + -2 Reorder the terms: -0.8 + 0.57a + 8t + 0.57x = -2 + t Solving -0.8 + 0.57a + 8t + 0.57x = -2 + t Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.8' to each side of the equation. -0.8 + 0.57a + 8t + 0.8 + 0.57x = -2 + 0.8 + t Reorder the terms: -0.8 + 0.8 + 0.57a + 8t + 0.57x = -2 + 0.8 + t Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.57a + 8t + 0.57x = -2 + 0.8 + t 0.57a + 8t + 0.57x = -2 + 0.8 + t Combine like terms: -2 + 0.8 = -1.2 0.57a + 8t + 0.57x = -1.2 + t Add '-8t' to each side of the equation. 0.57a + 8t + -8t + 0.57x = -1.2 + t + -8t Combine like terms: 8t + -8t = 0 0.57a + 0 + 0.57x = -1.2 + t + -8t 0.57a + 0.57x = -1.2 + t + -8t Combine like terms: t + -8t = -7t 0.57a + 0.57x = -1.2 + -7t Add '-0.57x' to each side of the equation. 0.57a + 0.57x + -0.57x = -1.2 + -7t + -0.57x Combine like terms: 0.57x + -0.57x = 0.00 0.57a + 0.00 = -1.2 + -7t + -0.57x 0.57a = -1.2 + -7t + -0.57x Divide each side by '0.57'. a = -2.105263158 + -12.28070175t + -1x Simplifying a = -2.105263158 + -12.28070175t + -1x
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