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Simplifying 2t + 7 = 5t + -7 Reorder the terms: 7 + 2t = 5t + -7 Reorder the terms: 7 + 2t = -7 + 5t Solving 7 + 2t = -7 + 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 + 2t + -5t = -7 + 5t + -5t Combine like terms: 2t + -5t = -3t 7 + -3t = -7 + 5t + -5t Combine like terms: 5t + -5t = 0 7 + -3t = -7 + 0 7 + -3t = -7 Add '-7' to each side of the equation. 7 + -7 + -3t = -7 + -7 Combine like terms: 7 + -7 = 0 0 + -3t = -7 + -7 -3t = -7 + -7 Combine like terms: -7 + -7 = -14 -3t = -14 Divide each side by '-3'. t = 4.666666667 Simplifying t = 4.666666667
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