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Simplifying 3t + -5 = 7t + t + -15 Reorder the terms: -5 + 3t = 7t + t + -15 Reorder the terms: -5 + 3t = -15 + 7t + t Combine like terms: 7t + t = 8t -5 + 3t = -15 + 8t Solving -5 + 3t = -15 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. -5 + 3t + -8t = -15 + 8t + -8t Combine like terms: 3t + -8t = -5t -5 + -5t = -15 + 8t + -8t Combine like terms: 8t + -8t = 0 -5 + -5t = -15 + 0 -5 + -5t = -15 Add '5' to each side of the equation. -5 + 5 + -5t = -15 + 5 Combine like terms: -5 + 5 = 0 0 + -5t = -15 + 5 -5t = -15 + 5 Combine like terms: -15 + 5 = -10 -5t = -10 Divide each side by '-5'. t = 2 Simplifying t = 2
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