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Simplifying 2t + 2 = 3t + -61 Reorder the terms: 2 + 2t = 3t + -61 Reorder the terms: 2 + 2t = -61 + 3t Solving 2 + 2t = -61 + 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. 2 + 2t + -3t = -61 + 3t + -3t Combine like terms: 2t + -3t = -1t 2 + -1t = -61 + 3t + -3t Combine like terms: 3t + -3t = 0 2 + -1t = -61 + 0 2 + -1t = -61 Add '-2' to each side of the equation. 2 + -2 + -1t = -61 + -2 Combine like terms: 2 + -2 = 0 0 + -1t = -61 + -2 -1t = -61 + -2 Combine like terms: -61 + -2 = -63 -1t = -63 Divide each side by '-1'. t = 63 Simplifying t = 63
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