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Simplifying 2t + 48 = 3t + -28 Reorder the terms: 48 + 2t = 3t + -28 Reorder the terms: 48 + 2t = -28 + 3t Solving 48 + 2t = -28 + 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. 48 + 2t + -3t = -28 + 3t + -3t Combine like terms: 2t + -3t = -1t 48 + -1t = -28 + 3t + -3t Combine like terms: 3t + -3t = 0 48 + -1t = -28 + 0 48 + -1t = -28 Add '-48' to each side of the equation. 48 + -48 + -1t = -28 + -48 Combine like terms: 48 + -48 = 0 0 + -1t = -28 + -48 -1t = -28 + -48 Combine like terms: -28 + -48 = -76 -1t = -76 Divide each side by '-1'. t = 76 Simplifying t = 76
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