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Simplifying 5 + 2t + -3 = 6t + 20 + -2t Reorder the terms: 5 + -3 + 2t = 6t + 20 + -2t Combine like terms: 5 + -3 = 2 2 + 2t = 6t + 20 + -2t Reorder the terms: 2 + 2t = 20 + 6t + -2t Combine like terms: 6t + -2t = 4t 2 + 2t = 20 + 4t Solving 2 + 2t = 20 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 2 + 2t + -4t = 20 + 4t + -4t Combine like terms: 2t + -4t = -2t 2 + -2t = 20 + 4t + -4t Combine like terms: 4t + -4t = 0 2 + -2t = 20 + 0 2 + -2t = 20 Add '-2' to each side of the equation. 2 + -2 + -2t = 20 + -2 Combine like terms: 2 + -2 = 0 0 + -2t = 20 + -2 -2t = 20 + -2 Combine like terms: 20 + -2 = 18 -2t = 18 Divide each side by '-2'. t = -9 Simplifying t = -9
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