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Simplifying 6(6t + -5) + t = 60 + -1t Reorder the terms: 6(-5 + 6t) + t = 60 + -1t (-5 * 6 + 6t * 6) + t = 60 + -1t (-30 + 36t) + t = 60 + -1t Combine like terms: 36t + t = 37t -30 + 37t = 60 + -1t Solving -30 + 37t = 60 + -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. -30 + 37t + t = 60 + -1t + t Combine like terms: 37t + t = 38t -30 + 38t = 60 + -1t + t Combine like terms: -1t + t = 0 -30 + 38t = 60 + 0 -30 + 38t = 60 Add '30' to each side of the equation. -30 + 30 + 38t = 60 + 30 Combine like terms: -30 + 30 = 0 0 + 38t = 60 + 30 38t = 60 + 30 Combine like terms: 60 + 30 = 90 38t = 90 Divide each side by '38'. t = 2.368421053 Simplifying t = 2.368421053
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