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Simplifying 4t + -5 + 9 = 5t + -9 Reorder the terms: -5 + 9 + 4t = 5t + -9 Combine like terms: -5 + 9 = 4 4 + 4t = 5t + -9 Reorder the terms: 4 + 4t = -9 + 5t Solving 4 + 4t = -9 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 4 + 4t + -5t = -9 + 5t + -5t Combine like terms: 4t + -5t = -1t 4 + -1t = -9 + 5t + -5t Combine like terms: 5t + -5t = 0 4 + -1t = -9 + 0 4 + -1t = -9 Add '-4' to each side of the equation. 4 + -4 + -1t = -9 + -4 Combine like terms: 4 + -4 = 0 0 + -1t = -9 + -4 -1t = -9 + -4 Combine like terms: -9 + -4 = -13 -1t = -13 Divide each side by '-1'. t = 13 Simplifying t = 13
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