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Simplifying 3t + 13 = 4t + -5t + -10 Reorder the terms: 13 + 3t = 4t + -5t + -10 Reorder the terms: 13 + 3t = -10 + 4t + -5t Combine like terms: 4t + -5t = -1t 13 + 3t = -10 + -1t Solving 13 + 3t = -10 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. 13 + 3t + t = -10 + -1t + t Combine like terms: 3t + t = 4t 13 + 4t = -10 + -1t + t Combine like terms: -1t + t = 0 13 + 4t = -10 + 0 13 + 4t = -10 Add '-13' to each side of the equation. 13 + -13 + 4t = -10 + -13 Combine like terms: 13 + -13 = 0 0 + 4t = -10 + -13 4t = -10 + -13 Combine like terms: -10 + -13 = -23 4t = -23 Divide each side by '4'. t = -5.75 Simplifying t = -5.75
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