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Simplifying 7(3t + 4) + -15t + -14 = 50 Reorder the terms: 7(4 + 3t) + -15t + -14 = 50 (4 * 7 + 3t * 7) + -15t + -14 = 50 (28 + 21t) + -15t + -14 = 50 Reorder the terms: 28 + -14 + 21t + -15t = 50 Combine like terms: 28 + -14 = 14 14 + 21t + -15t = 50 Combine like terms: 21t + -15t = 6t 14 + 6t = 50 Solving 14 + 6t = 50 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 6t = 50 + -14 Combine like terms: 14 + -14 = 0 0 + 6t = 50 + -14 6t = 50 + -14 Combine like terms: 50 + -14 = 36 6t = 36 Divide each side by '6'. t = 6 Simplifying t = 6
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