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Simplifying 10 + -1t = 4t + 12 + 3t Reorder the terms: 10 + -1t = 12 + 4t + 3t Combine like terms: 4t + 3t = 7t 10 + -1t = 12 + 7t Solving 10 + -1t = 12 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 10 + -1t + -7t = 12 + 7t + -7t Combine like terms: -1t + -7t = -8t 10 + -8t = 12 + 7t + -7t Combine like terms: 7t + -7t = 0 10 + -8t = 12 + 0 10 + -8t = 12 Add '-10' to each side of the equation. 10 + -10 + -8t = 12 + -10 Combine like terms: 10 + -10 = 0 0 + -8t = 12 + -10 -8t = 12 + -10 Combine like terms: 12 + -10 = 2 -8t = 2 Divide each side by '-8'. t = -0.25 Simplifying t = -0.25
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