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Simplifying 5t + 72 + 8t = 17t + -28 + 11t Reorder the terms: 72 + 5t + 8t = 17t + -28 + 11t Combine like terms: 5t + 8t = 13t 72 + 13t = 17t + -28 + 11t Reorder the terms: 72 + 13t = -28 + 17t + 11t Combine like terms: 17t + 11t = 28t 72 + 13t = -28 + 28t Solving 72 + 13t = -28 + 28t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-28t' to each side of the equation. 72 + 13t + -28t = -28 + 28t + -28t Combine like terms: 13t + -28t = -15t 72 + -15t = -28 + 28t + -28t Combine like terms: 28t + -28t = 0 72 + -15t = -28 + 0 72 + -15t = -28 Add '-72' to each side of the equation. 72 + -72 + -15t = -28 + -72 Combine like terms: 72 + -72 = 0 0 + -15t = -28 + -72 -15t = -28 + -72 Combine like terms: -28 + -72 = -100 -15t = -100 Divide each side by '-15'. t = 6.666666667 Simplifying t = 6.666666667
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