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Simplifying t + 5 = 2t + -2 Reorder the terms: 5 + t = 2t + -2 Reorder the terms: 5 + t = -2 + 2t Solving 5 + t = -2 + 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. 5 + t + -2t = -2 + 2t + -2t Combine like terms: t + -2t = -1t 5 + -1t = -2 + 2t + -2t Combine like terms: 2t + -2t = 0 5 + -1t = -2 + 0 5 + -1t = -2 Add '-5' to each side of the equation. 5 + -5 + -1t = -2 + -5 Combine like terms: 5 + -5 = 0 0 + -1t = -2 + -5 -1t = -2 + -5 Combine like terms: -2 + -5 = -7 -1t = -7 Divide each side by '-1'. t = 7 Simplifying t = 7
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