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Simplifying 5(2t + -1) + 4t = 10 + t Reorder the terms: 5(-1 + 2t) + 4t = 10 + t (-1 * 5 + 2t * 5) + 4t = 10 + t (-5 + 10t) + 4t = 10 + t Combine like terms: 10t + 4t = 14t -5 + 14t = 10 + t Solving -5 + 14t = 10 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -5 + 14t + -1t = 10 + t + -1t Combine like terms: 14t + -1t = 13t -5 + 13t = 10 + t + -1t Combine like terms: t + -1t = 0 -5 + 13t = 10 + 0 -5 + 13t = 10 Add '5' to each side of the equation. -5 + 5 + 13t = 10 + 5 Combine like terms: -5 + 5 = 0 0 + 13t = 10 + 5 13t = 10 + 5 Combine like terms: 10 + 5 = 15 13t = 15 Divide each side by '13'. t = 1.153846154 Simplifying t = 1.153846154
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