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Simplifying 3t + -12 = 5t + 5 + -1 Reorder the terms: -12 + 3t = 5t + 5 + -1 Reorder the terms: -12 + 3t = 5 + -1 + 5t Combine like terms: 5 + -1 = 4 -12 + 3t = 4 + 5t Solving -12 + 3t = 4 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -12 + 3t + -5t = 4 + 5t + -5t Combine like terms: 3t + -5t = -2t -12 + -2t = 4 + 5t + -5t Combine like terms: 5t + -5t = 0 -12 + -2t = 4 + 0 -12 + -2t = 4 Add '12' to each side of the equation. -12 + 12 + -2t = 4 + 12 Combine like terms: -12 + 12 = 0 0 + -2t = 4 + 12 -2t = 4 + 12 Combine like terms: 4 + 12 = 16 -2t = 16 Divide each side by '-2'. t = -8 Simplifying t = -8
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