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Simplifying 0.3333(t + -6) = -0.4t + 0.9333 Reorder the terms: 0.3333(-6 + t) = -0.4t + 0.9333 (-6 * 0.3333 + t * 0.3333) = -0.4t + 0.9333 (-1.9998 + 0.3333t) = -0.4t + 0.9333 Reorder the terms: -1.9998 + 0.3333t = 0.9333 + -0.4t Solving -1.9998 + 0.3333t = 0.9333 + -0.4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.4t' to each side of the equation. -1.9998 + 0.3333t + 0.4t = 0.9333 + -0.4t + 0.4t Combine like terms: 0.3333t + 0.4t = 0.7333t -1.9998 + 0.7333t = 0.9333 + -0.4t + 0.4t Combine like terms: -0.4t + 0.4t = 0.0 -1.9998 + 0.7333t = 0.9333 + 0.0 -1.9998 + 0.7333t = 0.9333 Add '1.9998' to each side of the equation. -1.9998 + 1.9998 + 0.7333t = 0.9333 + 1.9998 Combine like terms: -1.9998 + 1.9998 = 0.0000 0.0000 + 0.7333t = 0.9333 + 1.9998 0.7333t = 0.9333 + 1.9998 Combine like terms: 0.9333 + 1.9998 = 2.9331 0.7333t = 2.9331 Divide each side by '0.7333'. t = 3.99986363 Simplifying t = 3.99986363
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