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Simplifying 3(5t + -4) + t = 40 + -1t Reorder the terms: 3(-4 + 5t) + t = 40 + -1t (-4 * 3 + 5t * 3) + t = 40 + -1t (-12 + 15t) + t = 40 + -1t Combine like terms: 15t + t = 16t -12 + 16t = 40 + -1t Solving -12 + 16t = 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. -12 + 16t + t = 40 + -1t + t Combine like terms: 16t + t = 17t -12 + 17t = 40 + -1t + t Combine like terms: -1t + t = 0 -12 + 17t = 40 + 0 -12 + 17t = 40 Add '12' to each side of the equation. -12 + 12 + 17t = 40 + 12 Combine like terms: -12 + 12 = 0 0 + 17t = 40 + 12 17t = 40 + 12 Combine like terms: 40 + 12 = 52 17t = 52 Divide each side by '17'. t = 3.058823529 Simplifying t = 3.058823529
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