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Simplifying 5(2t + -1) + 4 = 10 + -1t Reorder the terms: 5(-1 + 2t) + 4 = 10 + -1t (-1 * 5 + 2t * 5) + 4 = 10 + -1t (-5 + 10t) + 4 = 10 + -1t Reorder the terms: -5 + 4 + 10t = 10 + -1t Combine like terms: -5 + 4 = -1 -1 + 10t = 10 + -1t Solving -1 + 10t = 10 + -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. -1 + 10t + t = 10 + -1t + t Combine like terms: 10t + t = 11t -1 + 11t = 10 + -1t + t Combine like terms: -1t + t = 0 -1 + 11t = 10 + 0 -1 + 11t = 10 Add '1' to each side of the equation. -1 + 1 + 11t = 10 + 1 Combine like terms: -1 + 1 = 0 0 + 11t = 10 + 1 11t = 10 + 1 Combine like terms: 10 + 1 = 11 11t = 11 Divide each side by '11'. t = 1 Simplifying t = 1
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