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Simplifying 21t + -52 + -312t + -72 = 12 + -513t + 12 Reorder the terms: -52 + -72 + 21t + -312t = 12 + -513t + 12 Combine like terms: -52 + -72 = -124 -124 + 21t + -312t = 12 + -513t + 12 Combine like terms: 21t + -312t = -291t -124 + -291t = 12 + -513t + 12 Reorder the terms: -124 + -291t = 12 + 12 + -513t Combine like terms: 12 + 12 = 24 -124 + -291t = 24 + -513t Solving -124 + -291t = 24 + -513t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '513t' to each side of the equation. -124 + -291t + 513t = 24 + -513t + 513t Combine like terms: -291t + 513t = 222t -124 + 222t = 24 + -513t + 513t Combine like terms: -513t + 513t = 0 -124 + 222t = 24 + 0 -124 + 222t = 24 Add '124' to each side of the equation. -124 + 124 + 222t = 24 + 124 Combine like terms: -124 + 124 = 0 0 + 222t = 24 + 124 222t = 24 + 124 Combine like terms: 24 + 124 = 148 222t = 148 Divide each side by '222'. t = 0.6666666667 Simplifying t = 0.6666666667
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