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Simplifying 10 + -1t = 4t + 12 + -1t Reorder the terms: 10 + -1t = 12 + 4t + -1t Combine like terms: 4t + -1t = 3t 10 + -1t = 12 + 3t Solving 10 + -1t = 12 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 10 + -1t + -3t = 12 + 3t + -3t Combine like terms: -1t + -3t = -4t 10 + -4t = 12 + 3t + -3t Combine like terms: 3t + -3t = 0 10 + -4t = 12 + 0 10 + -4t = 12 Add '-10' to each side of the equation. 10 + -10 + -4t = 12 + -10 Combine like terms: 10 + -10 = 0 0 + -4t = 12 + -10 -4t = 12 + -10 Combine like terms: 12 + -10 = 2 -4t = 2 Divide each side by '-4'. t = -0.5 Simplifying t = -0.5
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