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Simplifying 12.88t + -103.04 = 5.52t + -44.16 Reorder the terms: -103.04 + 12.88t = 5.52t + -44.16 Reorder the terms: -103.04 + 12.88t = -44.16 + 5.52t Solving -103.04 + 12.88t = -44.16 + 5.52t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5.52t' to each side of the equation. -103.04 + 12.88t + -5.52t = -44.16 + 5.52t + -5.52t Combine like terms: 12.88t + -5.52t = 7.36t -103.04 + 7.36t = -44.16 + 5.52t + -5.52t Combine like terms: 5.52t + -5.52t = 0.00 -103.04 + 7.36t = -44.16 + 0.00 -103.04 + 7.36t = -44.16 Add '103.04' to each side of the equation. -103.04 + 103.04 + 7.36t = -44.16 + 103.04 Combine like terms: -103.04 + 103.04 = 0.00 0.00 + 7.36t = -44.16 + 103.04 7.36t = -44.16 + 103.04 Combine like terms: -44.16 + 103.04 = 58.88 7.36t = 58.88 Divide each side by '7.36'. t = 8 Simplifying t = 8
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