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Simplifying 9 + -4t + 8 + -2 + 3t = 5t + -9 Reorder the terms: 9 + 8 + -2 + -4t + 3t = 5t + -9 Combine like terms: 9 + 8 = 17 17 + -2 + -4t + 3t = 5t + -9 Combine like terms: 17 + -2 = 15 15 + -4t + 3t = 5t + -9 Combine like terms: -4t + 3t = -1t 15 + -1t = 5t + -9 Reorder the terms: 15 + -1t = -9 + 5t Solving 15 + -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. 15 + -1t + -5t = -9 + 5t + -5t Combine like terms: -1t + -5t = -6t 15 + -6t = -9 + 5t + -5t Combine like terms: 5t + -5t = 0 15 + -6t = -9 + 0 15 + -6t = -9 Add '-15' to each side of the equation. 15 + -15 + -6t = -9 + -15 Combine like terms: 15 + -15 = 0 0 + -6t = -9 + -15 -6t = -9 + -15 Combine like terms: -9 + -15 = -24 -6t = -24 Divide each side by '-6'. t = 4 Simplifying t = 4
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