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Simplifying 2t + -5 = t + -1(3t + 4) Reorder the terms: -5 + 2t = t + -1(3t + 4) Reorder the terms: -5 + 2t = t + -1(4 + 3t) -5 + 2t = t + (4 * -1 + 3t * -1) -5 + 2t = t + (-4 + -3t) Reorder the terms: -5 + 2t = -4 + t + -3t Combine like terms: t + -3t = -2t -5 + 2t = -4 + -2t Solving -5 + 2t = -4 + -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. -5 + 2t + 2t = -4 + -2t + 2t Combine like terms: 2t + 2t = 4t -5 + 4t = -4 + -2t + 2t Combine like terms: -2t + 2t = 0 -5 + 4t = -4 + 0 -5 + 4t = -4 Add '5' to each side of the equation. -5 + 5 + 4t = -4 + 5 Combine like terms: -5 + 5 = 0 0 + 4t = -4 + 5 4t = -4 + 5 Combine like terms: -4 + 5 = 1 4t = 1 Divide each side by '4'. t = 0.25 Simplifying t = 0.25
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