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Simplifying 3t + -53 = 2t + -12 Reorder the terms: -53 + 3t = 2t + -12 Reorder the terms: -53 + 3t = -12 + 2t Solving -53 + 3t = -12 + 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. -53 + 3t + -2t = -12 + 2t + -2t Combine like terms: 3t + -2t = 1t -53 + 1t = -12 + 2t + -2t Combine like terms: 2t + -2t = 0 -53 + 1t = -12 + 0 -53 + 1t = -12 Add '53' to each side of the equation. -53 + 53 + 1t = -12 + 53 Combine like terms: -53 + 53 = 0 0 + 1t = -12 + 53 1t = -12 + 53 Combine like terms: -12 + 53 = 41 1t = 41 Divide each side by '1'. t = 41 Simplifying t = 41
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