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Simplifying 5t + -1(5 + 4t) = 3 + t + -8 5t + (5 * -1 + 4t * -1) = 3 + t + -8 5t + (-5 + -4t) = 3 + t + -8 Reorder the terms: -5 + 5t + -4t = 3 + t + -8 Combine like terms: 5t + -4t = 1t -5 + 1t = 3 + t + -8 Reorder the terms: -5 + 1t = 3 + -8 + t Combine like terms: 3 + -8 = -5 -5 + 1t = -5 + t Add '5' to each side of the equation. -5 + 5 + 1t = -5 + 5 + t Combine like terms: -5 + 5 = 0 0 + 1t = -5 + 5 + t 1t = -5 + 5 + t Combine like terms: -5 + 5 = 0 1t = 0 + t 1t = t Solving 1t = t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 1t + -1t = t + -1t Combine like terms: 1t + -1t = 0 0 = t + -1t Combine like terms: t + -1t = 0 0 = 0 Simplifying 0 = 0 The solution to this equation could not be determined.
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