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Simplifying 76 = 2(t + -53) Reorder the terms: 76 = 2(-53 + t) 76 = (-53 * 2 + t * 2) 76 = (-106 + 2t) Solving 76 = -106 + 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. 76 + -2t = -106 + 2t + -2t Combine like terms: 2t + -2t = 0 76 + -2t = -106 + 0 76 + -2t = -106 Add '-76' to each side of the equation. 76 + -76 + -2t = -106 + -76 Combine like terms: 76 + -76 = 0 0 + -2t = -106 + -76 -2t = -106 + -76 Combine like terms: -106 + -76 = -182 -2t = -182 Divide each side by '-2'. t = 91 Simplifying t = 91
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