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Simplifying 8.25t + 7 = 14.50t + 12 Reorder the terms: 7 + 8.25t = 14.50t + 12 Reorder the terms: 7 + 8.25t = 12 + 14.50t Solving 7 + 8.25t = 12 + 14.50t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-14.50t' to each side of the equation. 7 + 8.25t + -14.50t = 12 + 14.50t + -14.50t Combine like terms: 8.25t + -14.50t = -6.25t 7 + -6.25t = 12 + 14.50t + -14.50t Combine like terms: 14.50t + -14.50t = 0.00 7 + -6.25t = 12 + 0.00 7 + -6.25t = 12 Add '-7' to each side of the equation. 7 + -7 + -6.25t = 12 + -7 Combine like terms: 7 + -7 = 0 0 + -6.25t = 12 + -7 -6.25t = 12 + -7 Combine like terms: 12 + -7 = 5 -6.25t = 5 Divide each side by '-6.25'. t = -0.8 Simplifying t = -0.8
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