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Simplifying 4t + -3 + -1(3t + 1) = 5t + -4 Reorder the terms: 4t + -3 + -1(1 + 3t) = 5t + -4 4t + -3 + (1 * -1 + 3t * -1) = 5t + -4 4t + -3 + (-1 + -3t) = 5t + -4 Reorder the terms: -3 + -1 + 4t + -3t = 5t + -4 Combine like terms: -3 + -1 = -4 -4 + 4t + -3t = 5t + -4 Combine like terms: 4t + -3t = 1t -4 + 1t = 5t + -4 Reorder the terms: -4 + 1t = -4 + 5t Add '4' to each side of the equation. -4 + 4 + 1t = -4 + 4 + 5t Combine like terms: -4 + 4 = 0 0 + 1t = -4 + 4 + 5t 1t = -4 + 4 + 5t Combine like terms: -4 + 4 = 0 1t = 0 + 5t 1t = 5t Solving 1t = 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. 1t + -5t = 5t + -5t Combine like terms: 1t + -5t = -4t -4t = 5t + -5t Combine like terms: 5t + -5t = 0 -4t = 0 Divide each side by '-4'. t = 0 Simplifying t = 0
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