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Simplifying 4t + 13 = t + -14 Reorder the terms: 13 + 4t = t + -14 Reorder the terms: 13 + 4t = -14 + t Solving 13 + 4t = -14 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 13 + 4t + -1t = -14 + t + -1t Combine like terms: 4t + -1t = 3t 13 + 3t = -14 + t + -1t Combine like terms: t + -1t = 0 13 + 3t = -14 + 0 13 + 3t = -14 Add '-13' to each side of the equation. 13 + -13 + 3t = -14 + -13 Combine like terms: 13 + -13 = 0 0 + 3t = -14 + -13 3t = -14 + -13 Combine like terms: -14 + -13 = -27 3t = -27 Divide each side by '3'. t = -9 Simplifying t = -9
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