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Simplifying 5 + -1t + 7 + -3t = -3t + 7 Reorder the terms: 5 + 7 + -1t + -3t = -3t + 7 Combine like terms: 5 + 7 = 12 12 + -1t + -3t = -3t + 7 Combine like terms: -1t + -3t = -4t 12 + -4t = -3t + 7 Reorder the terms: 12 + -4t = 7 + -3t Solving 12 + -4t = 7 + -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. 12 + -4t + 3t = 7 + -3t + 3t Combine like terms: -4t + 3t = -1t 12 + -1t = 7 + -3t + 3t Combine like terms: -3t + 3t = 0 12 + -1t = 7 + 0 12 + -1t = 7 Add '-12' to each side of the equation. 12 + -12 + -1t = 7 + -12 Combine like terms: 12 + -12 = 0 0 + -1t = 7 + -12 -1t = 7 + -12 Combine like terms: 7 + -12 = -5 -1t = -5 Divide each side by '-1'. t = 5 Simplifying t = 5
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