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Simplifying 5t + -27 = -41 + 7t Reorder the terms: -27 + 5t = -41 + 7t Solving -27 + 5t = -41 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. -27 + 5t + -7t = -41 + 7t + -7t Combine like terms: 5t + -7t = -2t -27 + -2t = -41 + 7t + -7t Combine like terms: 7t + -7t = 0 -27 + -2t = -41 + 0 -27 + -2t = -41 Add '27' to each side of the equation. -27 + 27 + -2t = -41 + 27 Combine like terms: -27 + 27 = 0 0 + -2t = -41 + 27 -2t = -41 + 27 Combine like terms: -41 + 27 = -14 -2t = -14 Divide each side by '-2'. t = 7 Simplifying t = 7
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