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Simplifying 35 + -22t + 6 + -18t + -3 = 14 + -30t + 32 + 2 Reorder the terms: 35 + 6 + -3 + -22t + -18t = 14 + -30t + 32 + 2 Combine like terms: 35 + 6 = 41 41 + -3 + -22t + -18t = 14 + -30t + 32 + 2 Combine like terms: 41 + -3 = 38 38 + -22t + -18t = 14 + -30t + 32 + 2 Combine like terms: -22t + -18t = -40t 38 + -40t = 14 + -30t + 32 + 2 Reorder the terms: 38 + -40t = 14 + 32 + 2 + -30t Combine like terms: 14 + 32 = 46 38 + -40t = 46 + 2 + -30t Combine like terms: 46 + 2 = 48 38 + -40t = 48 + -30t Solving 38 + -40t = 48 + -30t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '30t' to each side of the equation. 38 + -40t + 30t = 48 + -30t + 30t Combine like terms: -40t + 30t = -10t 38 + -10t = 48 + -30t + 30t Combine like terms: -30t + 30t = 0 38 + -10t = 48 + 0 38 + -10t = 48 Add '-38' to each side of the equation. 38 + -38 + -10t = 48 + -38 Combine like terms: 38 + -38 = 0 0 + -10t = 48 + -38 -10t = 48 + -38 Combine like terms: 48 + -38 = 10 -10t = 10 Divide each side by '-10'. t = -1 Simplifying t = -1
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