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Simplifying 9t + -10 = -46 + 5t Reorder the terms: -10 + 9t = -46 + 5t Solving -10 + 9t = -46 + 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. -10 + 9t + -5t = -46 + 5t + -5t Combine like terms: 9t + -5t = 4t -10 + 4t = -46 + 5t + -5t Combine like terms: 5t + -5t = 0 -10 + 4t = -46 + 0 -10 + 4t = -46 Add '10' to each side of the equation. -10 + 10 + 4t = -46 + 10 Combine like terms: -10 + 10 = 0 0 + 4t = -46 + 10 4t = -46 + 10 Combine like terms: -46 + 10 = -36 4t = -36 Divide each side by '4'. t = -9 Simplifying t = -9
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