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Simplifying 0.92t + 0.9(x + -0.3) = 2x + -5.95 Reorder the terms: 0.92t + 0.9(-0.3 + x) = 2x + -5.95 0.92t + (-0.3 * 0.9 + x * 0.9) = 2x + -5.95 0.92t + (-0.27 + 0.9x) = 2x + -5.95 Reorder the terms: -0.27 + 0.92t + 0.9x = 2x + -5.95 Reorder the terms: -0.27 + 0.92t + 0.9x = -5.95 + 2x Solving -0.27 + 0.92t + 0.9x = -5.95 + 2x Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.27' to each side of the equation. -0.27 + 0.92t + 0.27 + 0.9x = -5.95 + 0.27 + 2x Reorder the terms: -0.27 + 0.27 + 0.92t + 0.9x = -5.95 + 0.27 + 2x Combine like terms: -0.27 + 0.27 = 0.00 0.00 + 0.92t + 0.9x = -5.95 + 0.27 + 2x 0.92t + 0.9x = -5.95 + 0.27 + 2x Combine like terms: -5.95 + 0.27 = -5.68 0.92t + 0.9x = -5.68 + 2x Add '-0.9x' to each side of the equation. 0.92t + 0.9x + -0.9x = -5.68 + 2x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 0.92t + 0.0 = -5.68 + 2x + -0.9x 0.92t = -5.68 + 2x + -0.9x Combine like terms: 2x + -0.9x = 1.1x 0.92t = -5.68 + 1.1x Divide each side by '0.92'. t = -6.173913043 + 1.195652174x Simplifying t = -6.173913043 + 1.195652174x
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