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Simplifying (5t + -4) + t = 40 + -1t Reorder the terms: (-4 + 5t) + t = 40 + -1t Remove parenthesis around (-4 + 5t) -4 + 5t + t = 40 + -1t Combine like terms: 5t + t = 6t -4 + 6t = 40 + -1t Solving -4 + 6t = 40 + -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. -4 + 6t + t = 40 + -1t + t Combine like terms: 6t + t = 7t -4 + 7t = 40 + -1t + t Combine like terms: -1t + t = 0 -4 + 7t = 40 + 0 -4 + 7t = 40 Add '4' to each side of the equation. -4 + 4 + 7t = 40 + 4 Combine like terms: -4 + 4 = 0 0 + 7t = 40 + 4 7t = 40 + 4 Combine like terms: 40 + 4 = 44 7t = 44 Divide each side by '7'. t = 6.285714286 Simplifying t = 6.285714286
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