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Simplifying 3t + -12t + 6t + -12 + -15t = 45 + -12t + 6t + 60 + -10t Reorder the terms: -12 + 3t + -12t + 6t + -15t = 45 + -12t + 6t + 60 + -10t Combine like terms: 3t + -12t = -9t -12 + -9t + 6t + -15t = 45 + -12t + 6t + 60 + -10t Combine like terms: -9t + 6t = -3t -12 + -3t + -15t = 45 + -12t + 6t + 60 + -10t Combine like terms: -3t + -15t = -18t -12 + -18t = 45 + -12t + 6t + 60 + -10t Reorder the terms: -12 + -18t = 45 + 60 + -12t + 6t + -10t Combine like terms: 45 + 60 = 105 -12 + -18t = 105 + -12t + 6t + -10t Combine like terms: -12t + 6t = -6t -12 + -18t = 105 + -6t + -10t Combine like terms: -6t + -10t = -16t -12 + -18t = 105 + -16t Solving -12 + -18t = 105 + -16t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '16t' to each side of the equation. -12 + -18t + 16t = 105 + -16t + 16t Combine like terms: -18t + 16t = -2t -12 + -2t = 105 + -16t + 16t Combine like terms: -16t + 16t = 0 -12 + -2t = 105 + 0 -12 + -2t = 105 Add '12' to each side of the equation. -12 + 12 + -2t = 105 + 12 Combine like terms: -12 + 12 = 0 0 + -2t = 105 + 12 -2t = 105 + 12 Combine like terms: 105 + 12 = 117 -2t = 117 Divide each side by '-2'. t = -58.5 Simplifying t = -58.5
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