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Simplifying 10t + -46 + -4t = 108 + -5t Reorder the terms: -46 + 10t + -4t = 108 + -5t Combine like terms: 10t + -4t = 6t -46 + 6t = 108 + -5t Solving -46 + 6t = 108 + -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. -46 + 6t + 5t = 108 + -5t + 5t Combine like terms: 6t + 5t = 11t -46 + 11t = 108 + -5t + 5t Combine like terms: -5t + 5t = 0 -46 + 11t = 108 + 0 -46 + 11t = 108 Add '46' to each side of the equation. -46 + 46 + 11t = 108 + 46 Combine like terms: -46 + 46 = 0 0 + 11t = 108 + 46 11t = 108 + 46 Combine like terms: 108 + 46 = 154 11t = 154 Divide each side by '11'. t = 14 Simplifying t = 14
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