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Simplifying 7t + 15 = 3t + -8 Reorder the terms: 15 + 7t = 3t + -8 Reorder the terms: 15 + 7t = -8 + 3t Solving 15 + 7t = -8 + 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. 15 + 7t + -3t = -8 + 3t + -3t Combine like terms: 7t + -3t = 4t 15 + 4t = -8 + 3t + -3t Combine like terms: 3t + -3t = 0 15 + 4t = -8 + 0 15 + 4t = -8 Add '-15' to each side of the equation. 15 + -15 + 4t = -8 + -15 Combine like terms: 15 + -15 = 0 0 + 4t = -8 + -15 4t = -8 + -15 Combine like terms: -8 + -15 = -23 4t = -23 Divide each side by '4'. t = -5.75 Simplifying t = -5.75
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