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Simplifying 5(2t + -1) + 4t = 10t Reorder the terms: 5(-1 + 2t) + 4t = 10t (-1 * 5 + 2t * 5) + 4t = 10t (-5 + 10t) + 4t = 10t Combine like terms: 10t + 4t = 14t -5 + 14t = 10t Solving -5 + 14t = 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. -5 + 14t + -10t = 10t + -10t Combine like terms: 14t + -10t = 4t -5 + 4t = 10t + -10t Combine like terms: 10t + -10t = 0 -5 + 4t = 0 Add '5' to each side of the equation. -5 + 5 + 4t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4t = 0 + 5 4t = 0 + 5 Combine like terms: 0 + 5 = 5 4t = 5 Divide each side by '4'. t = 1.25 Simplifying t = 1.25
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