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Simplifying 0.75t + -6 = 0.33t + -1 Reorder the terms: -6 + 0.75t = 0.33t + -1 Reorder the terms: -6 + 0.75t = -1 + 0.33t Solving -6 + 0.75t = -1 + 0.33t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.33t' to each side of the equation. -6 + 0.75t + -0.33t = -1 + 0.33t + -0.33t Combine like terms: 0.75t + -0.33t = 0.42t -6 + 0.42t = -1 + 0.33t + -0.33t Combine like terms: 0.33t + -0.33t = 0.00 -6 + 0.42t = -1 + 0.00 -6 + 0.42t = -1 Add '6' to each side of the equation. -6 + 6 + 0.42t = -1 + 6 Combine like terms: -6 + 6 = 0 0 + 0.42t = -1 + 6 0.42t = -1 + 6 Combine like terms: -1 + 6 = 5 0.42t = 5 Divide each side by '0.42'. t = 11.9047619 Simplifying t = 11.9047619
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