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Simplifying t + 5t + 3t + -40 = 14t Reorder the terms: -40 + t + 5t + 3t = 14t Combine like terms: t + 5t = 6t -40 + 6t + 3t = 14t Combine like terms: 6t + 3t = 9t -40 + 9t = 14t Solving -40 + 9t = 14t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-14t' to each side of the equation. -40 + 9t + -14t = 14t + -14t Combine like terms: 9t + -14t = -5t -40 + -5t = 14t + -14t Combine like terms: 14t + -14t = 0 -40 + -5t = 0 Add '40' to each side of the equation. -40 + 40 + -5t = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -5t = 0 + 40 -5t = 0 + 40 Combine like terms: 0 + 40 = 40 -5t = 40 Divide each side by '-5'. t = -8 Simplifying t = -8
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