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Simplifying -3t + 20 = 10t + -20 + -2 Reorder the terms: 20 + -3t = 10t + -20 + -2 Reorder the terms: 20 + -3t = -20 + -2 + 10t Combine like terms: -20 + -2 = -22 20 + -3t = -22 + 10t Solving 20 + -3t = -22 + 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. 20 + -3t + -10t = -22 + 10t + -10t Combine like terms: -3t + -10t = -13t 20 + -13t = -22 + 10t + -10t Combine like terms: 10t + -10t = 0 20 + -13t = -22 + 0 20 + -13t = -22 Add '-20' to each side of the equation. 20 + -20 + -13t = -22 + -20 Combine like terms: 20 + -20 = 0 0 + -13t = -22 + -20 -13t = -22 + -20 Combine like terms: -22 + -20 = -42 -13t = -42 Divide each side by '-13'. t = 3.230769231 Simplifying t = 3.230769231
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