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Simplifying 20 + -5t = 17t + -12 + -20t Reorder the terms: 20 + -5t = -12 + 17t + -20t Combine like terms: 17t + -20t = -3t 20 + -5t = -12 + -3t Solving 20 + -5t = -12 + -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. 20 + -5t + 3t = -12 + -3t + 3t Combine like terms: -5t + 3t = -2t 20 + -2t = -12 + -3t + 3t Combine like terms: -3t + 3t = 0 20 + -2t = -12 + 0 20 + -2t = -12 Add '-20' to each side of the equation. 20 + -20 + -2t = -12 + -20 Combine like terms: 20 + -20 = 0 0 + -2t = -12 + -20 -2t = -12 + -20 Combine like terms: -12 + -20 = -32 -2t = -32 Divide each side by '-2'. t = 16 Simplifying t = 16
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