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Simplifying 120t + 420 = 36t + 7 Reorder the terms: 420 + 120t = 36t + 7 Reorder the terms: 420 + 120t = 7 + 36t Solving 420 + 120t = 7 + 36t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-36t' to each side of the equation. 420 + 120t + -36t = 7 + 36t + -36t Combine like terms: 120t + -36t = 84t 420 + 84t = 7 + 36t + -36t Combine like terms: 36t + -36t = 0 420 + 84t = 7 + 0 420 + 84t = 7 Add '-420' to each side of the equation. 420 + -420 + 84t = 7 + -420 Combine like terms: 420 + -420 = 0 0 + 84t = 7 + -420 84t = 7 + -420 Combine like terms: 7 + -420 = -413 84t = -413 Divide each side by '84'. t = -4.916666667 Simplifying t = -4.916666667
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