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