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Simplifying 20t + 40 + -6t = 10t + -47 + 35 Reorder the terms: 40 + 20t + -6t = 10t + -47 + 35 Combine like terms: 20t + -6t = 14t 40 + 14t = 10t + -47 + 35 Reorder the terms: 40 + 14t = -47 + 35 + 10t Combine like terms: -47 + 35 = -12 40 + 14t = -12 + 10t Solving 40 + 14t = -12 + 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. 40 + 14t + -10t = -12 + 10t + -10t Combine like terms: 14t + -10t = 4t 40 + 4t = -12 + 10t + -10t Combine like terms: 10t + -10t = 0 40 + 4t = -12 + 0 40 + 4t = -12 Add '-40' to each side of the equation. 40 + -40 + 4t = -12 + -40 Combine like terms: 40 + -40 = 0 0 + 4t = -12 + -40 4t = -12 + -40 Combine like terms: -12 + -40 = -52 4t = -52 Divide each side by '4'. t = -13 Simplifying t = -13
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