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Simplifying 5(14 + -1t) + 3.50t + 59.50 = 0 (14 * 5 + -1t * 5) + 3.50t + 59.50 = 0 (70 + -5t) + 3.50t + 59.50 = 0 Reorder the terms: 70 + 59.50 + -5t + 3.50t = 0 Combine like terms: 70 + 59.50 = 129.5 129.5 + -5t + 3.50t = 0 Combine like terms: -5t + 3.50t = -1.5t 129.5 + -1.5t = 0 Solving 129.5 + -1.5t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-129.5' to each side of the equation. 129.5 + -129.5 + -1.5t = 0 + -129.5 Combine like terms: 129.5 + -129.5 = 0.0 0.0 + -1.5t = 0 + -129.5 -1.5t = 0 + -129.5 Combine like terms: 0 + -129.5 = -129.5 -1.5t = -129.5 Divide each side by '-1.5'. t = 86.33333333 Simplifying t = 86.33333333
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