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Simplifying -5t + -4 = 2t + 14 Reorder the terms: -4 + -5t = 2t + 14 Reorder the terms: -4 + -5t = 14 + 2t Solving -4 + -5t = 14 + 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. -4 + -5t + -2t = 14 + 2t + -2t Combine like terms: -5t + -2t = -7t -4 + -7t = 14 + 2t + -2t Combine like terms: 2t + -2t = 0 -4 + -7t = 14 + 0 -4 + -7t = 14 Add '4' to each side of the equation. -4 + 4 + -7t = 14 + 4 Combine like terms: -4 + 4 = 0 0 + -7t = 14 + 4 -7t = 14 + 4 Combine like terms: 14 + 4 = 18 -7t = 18 Divide each side by '-7'. t = -2.571428571 Simplifying t = -2.571428571
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