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Simplifying 4t + -9t + 16 = 15 + -4t Reorder the terms: 16 + 4t + -9t = 15 + -4t Combine like terms: 4t + -9t = -5t 16 + -5t = 15 + -4t Solving 16 + -5t = 15 + -4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4t' to each side of the equation. 16 + -5t + 4t = 15 + -4t + 4t Combine like terms: -5t + 4t = -1t 16 + -1t = 15 + -4t + 4t Combine like terms: -4t + 4t = 0 16 + -1t = 15 + 0 16 + -1t = 15 Add '-16' to each side of the equation. 16 + -16 + -1t = 15 + -16 Combine like terms: 16 + -16 = 0 0 + -1t = 15 + -16 -1t = 15 + -16 Combine like terms: 15 + -16 = -1 -1t = -1 Divide each side by '-1'. t = 1 Simplifying t = 1
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