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Simplifying 4t + -5t + 9 = 5t + -9 Reorder the terms: 9 + 4t + -5t = 5t + -9 Combine like terms: 4t + -5t = -1t 9 + -1t = 5t + -9 Reorder the terms: 9 + -1t = -9 + 5t Solving 9 + -1t = -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. 9 + -1t + -5t = -9 + 5t + -5t Combine like terms: -1t + -5t = -6t 9 + -6t = -9 + 5t + -5t Combine like terms: 5t + -5t = 0 9 + -6t = -9 + 0 9 + -6t = -9 Add '-9' to each side of the equation. 9 + -9 + -6t = -9 + -9 Combine like terms: 9 + -9 = 0 0 + -6t = -9 + -9 -6t = -9 + -9 Combine like terms: -9 + -9 = -18 -6t = -18 Divide each side by '-6'. t = 3 Simplifying t = 3
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