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Simplifying 5(2t + -1) + 3(t + -7) = 26 Reorder the terms: 5(-1 + 2t) + 3(t + -7) = 26 (-1 * 5 + 2t * 5) + 3(t + -7) = 26 (-5 + 10t) + 3(t + -7) = 26 Reorder the terms: -5 + 10t + 3(-7 + t) = 26 -5 + 10t + (-7 * 3 + t * 3) = 26 -5 + 10t + (-21 + 3t) = 26 Reorder the terms: -5 + -21 + 10t + 3t = 26 Combine like terms: -5 + -21 = -26 -26 + 10t + 3t = 26 Combine like terms: 10t + 3t = 13t -26 + 13t = 26 Solving -26 + 13t = 26 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 13t = 26 + 26 Combine like terms: -26 + 26 = 0 0 + 13t = 26 + 26 13t = 26 + 26 Combine like terms: 26 + 26 = 52 13t = 52 Divide each side by '13'. t = 4 Simplifying t = 4
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