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Simplifying t + 27 = 4t + 16 Reorder the terms: 27 + t = 4t + 16 Reorder the terms: 27 + t = 16 + 4t Solving 27 + t = 16 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 27 + t + -4t = 16 + 4t + -4t Combine like terms: t + -4t = -3t 27 + -3t = 16 + 4t + -4t Combine like terms: 4t + -4t = 0 27 + -3t = 16 + 0 27 + -3t = 16 Add '-27' to each side of the equation. 27 + -27 + -3t = 16 + -27 Combine like terms: 27 + -27 = 0 0 + -3t = 16 + -27 -3t = 16 + -27 Combine like terms: 16 + -27 = -11 -3t = -11 Divide each side by '-3'. t = 3.666666667 Simplifying t = 3.666666667
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