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Simplifying 3t + -5 = 7t + 2 Reorder the terms: -5 + 3t = 7t + 2 Reorder the terms: -5 + 3t = 2 + 7t Solving -5 + 3t = 2 + 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. -5 + 3t + -7t = 2 + 7t + -7t Combine like terms: 3t + -7t = -4t -5 + -4t = 2 + 7t + -7t Combine like terms: 7t + -7t = 0 -5 + -4t = 2 + 0 -5 + -4t = 2 Add '5' to each side of the equation. -5 + 5 + -4t = 2 + 5 Combine like terms: -5 + 5 = 0 0 + -4t = 2 + 5 -4t = 2 + 5 Combine like terms: 2 + 5 = 7 -4t = 7 Divide each side by '-4'. t = -1.75 Simplifying t = -1.75
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