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Simplifying 4t + -3t + -1(3t + 1) = 5t + -4 Reorder the terms: 4t + -3t + -1(1 + 3t) = 5t + -4 4t + -3t + (1 * -1 + 3t * -1) = 5t + -4 4t + -3t + (-1 + -3t) = 5t + -4 Reorder the terms: -1 + 4t + -3t + -3t = 5t + -4 Combine like terms: 4t + -3t = 1t -1 + 1t + -3t = 5t + -4 Combine like terms: 1t + -3t = -2t -1 + -2t = 5t + -4 Reorder the terms: -1 + -2t = -4 + 5t Solving -1 + -2t = -4 + 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. -1 + -2t + -5t = -4 + 5t + -5t Combine like terms: -2t + -5t = -7t -1 + -7t = -4 + 5t + -5t Combine like terms: 5t + -5t = 0 -1 + -7t = -4 + 0 -1 + -7t = -4 Add '1' to each side of the equation. -1 + 1 + -7t = -4 + 1 Combine like terms: -1 + 1 = 0 0 + -7t = -4 + 1 -7t = -4 + 1 Combine like terms: -4 + 1 = -3 -7t = -3 Divide each side by '-7'. t = 0.4285714286 Simplifying t = 0.4285714286
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