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Simplifying 6t + -7 + 4t = 12t + -1 Reorder the terms: -7 + 6t + 4t = 12t + -1 Combine like terms: 6t + 4t = 10t -7 + 10t = 12t + -1 Reorder the terms: -7 + 10t = -1 + 12t Solving -7 + 10t = -1 + 12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12t' to each side of the equation. -7 + 10t + -12t = -1 + 12t + -12t Combine like terms: 10t + -12t = -2t -7 + -2t = -1 + 12t + -12t Combine like terms: 12t + -12t = 0 -7 + -2t = -1 + 0 -7 + -2t = -1 Add '7' to each side of the equation. -7 + 7 + -2t = -1 + 7 Combine like terms: -7 + 7 = 0 0 + -2t = -1 + 7 -2t = -1 + 7 Combine like terms: -1 + 7 = 6 -2t = 6 Divide each side by '-2'. t = -3 Simplifying t = -3
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