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Simplifying 5(14 + -1t) + 3.50t = 59.50 (14 * 5 + -1t * 5) + 3.50t = 59.50 (70 + -5t) + 3.50t = 59.50 Combine like terms: -5t + 3.50t = -1.5t 70 + -1.5t = 59.50 Solving 70 + -1.5t = 59.50 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + -70 + -1.5t = 59.50 + -70 Combine like terms: 70 + -70 = 0 0 + -1.5t = 59.50 + -70 -1.5t = 59.50 + -70 Combine like terms: 59.50 + -70 = -10.5 -1.5t = -10.5 Divide each side by '-1.5'. t = 7 Simplifying t = 7
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