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Simplifying 3.5t + 4.5t + 7 = 2t + -3 Reorder the terms: 7 + 3.5t + 4.5t = 2t + -3 Combine like terms: 3.5t + 4.5t = 8t 7 + 8t = 2t + -3 Reorder the terms: 7 + 8t = -3 + 2t Solving 7 + 8t = -3 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 7 + 8t + -2t = -3 + 2t + -2t Combine like terms: 8t + -2t = 6t 7 + 6t = -3 + 2t + -2t Combine like terms: 2t + -2t = 0 7 + 6t = -3 + 0 7 + 6t = -3 Add '-7' to each side of the equation. 7 + -7 + 6t = -3 + -7 Combine like terms: 7 + -7 = 0 0 + 6t = -3 + -7 6t = -3 + -7 Combine like terms: -3 + -7 = -10 6t = -10 Divide each side by '6'. t = -1.666666667 Simplifying t = -1.666666667
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