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