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Simplifying 3t + 91 = 7t + 87 Reorder the terms: 91 + 3t = 7t + 87 Reorder the terms: 91 + 3t = 87 + 7t Solving 91 + 3t = 87 + 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. 91 + 3t + -7t = 87 + 7t + -7t Combine like terms: 3t + -7t = -4t 91 + -4t = 87 + 7t + -7t Combine like terms: 7t + -7t = 0 91 + -4t = 87 + 0 91 + -4t = 87 Add '-91' to each side of the equation. 91 + -91 + -4t = 87 + -91 Combine like terms: 91 + -91 = 0 0 + -4t = 87 + -91 -4t = 87 + -91 Combine like terms: 87 + -91 = -4 -4t = -4 Divide each side by '-4'. t = 1 Simplifying t = 1
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