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Simplifying 10 + 3t + -3 = 2t + 3 + -7t Reorder the terms: 10 + -3 + 3t = 2t + 3 + -7t Combine like terms: 10 + -3 = 7 7 + 3t = 2t + 3 + -7t Reorder the terms: 7 + 3t = 3 + 2t + -7t Combine like terms: 2t + -7t = -5t 7 + 3t = 3 + -5t Solving 7 + 3t = 3 + -5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5t' to each side of the equation. 7 + 3t + 5t = 3 + -5t + 5t Combine like terms: 3t + 5t = 8t 7 + 8t = 3 + -5t + 5t Combine like terms: -5t + 5t = 0 7 + 8t = 3 + 0 7 + 8t = 3 Add '-7' to each side of the equation. 7 + -7 + 8t = 3 + -7 Combine like terms: 7 + -7 = 0 0 + 8t = 3 + -7 8t = 3 + -7 Combine like terms: 3 + -7 = -4 8t = -4 Divide each side by '8'. t = -0.5 Simplifying t = -0.5
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