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Simplifying 3t + -17 = -47 + 8t Reorder the terms: -17 + 3t = -47 + 8t Solving -17 + 3t = -47 + 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. -17 + 3t + -8t = -47 + 8t + -8t Combine like terms: 3t + -8t = -5t -17 + -5t = -47 + 8t + -8t Combine like terms: 8t + -8t = 0 -17 + -5t = -47 + 0 -17 + -5t = -47 Add '17' to each side of the equation. -17 + 17 + -5t = -47 + 17 Combine like terms: -17 + 17 = 0 0 + -5t = -47 + 17 -5t = -47 + 17 Combine like terms: -47 + 17 = -30 -5t = -30 Divide each side by '-5'. t = 6 Simplifying t = 6
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