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Simplifying 5(2t + -3) + 4t = 30 + -1t Reorder the terms: 5(-3 + 2t) + 4t = 30 + -1t (-3 * 5 + 2t * 5) + 4t = 30 + -1t (-15 + 10t) + 4t = 30 + -1t Combine like terms: 10t + 4t = 14t -15 + 14t = 30 + -1t Solving -15 + 14t = 30 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. -15 + 14t + t = 30 + -1t + t Combine like terms: 14t + t = 15t -15 + 15t = 30 + -1t + t Combine like terms: -1t + t = 0 -15 + 15t = 30 + 0 -15 + 15t = 30 Add '15' to each side of the equation. -15 + 15 + 15t = 30 + 15 Combine like terms: -15 + 15 = 0 0 + 15t = 30 + 15 15t = 30 + 15 Combine like terms: 30 + 15 = 45 15t = 45 Divide each side by '15'. t = 3 Simplifying t = 3
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