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Simplifying 53 + t = 20 + 3t + -10 Reorder the terms: 53 + t = 20 + -10 + 3t Combine like terms: 20 + -10 = 10 53 + t = 10 + 3t Solving 53 + t = 10 + 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. 53 + t + -3t = 10 + 3t + -3t Combine like terms: t + -3t = -2t 53 + -2t = 10 + 3t + -3t Combine like terms: 3t + -3t = 0 53 + -2t = 10 + 0 53 + -2t = 10 Add '-53' to each side of the equation. 53 + -53 + -2t = 10 + -53 Combine like terms: 53 + -53 = 0 0 + -2t = 10 + -53 -2t = 10 + -53 Combine like terms: 10 + -53 = -43 -2t = -43 Divide each side by '-2'. t = 21.5 Simplifying t = 21.5
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