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Simplifying 9t + -1.5 = -40 + 3.5t Reorder the terms: -1.5 + 9t = -40 + 3.5t Solving -1.5 + 9t = -40 + 3.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3.5t' to each side of the equation. -1.5 + 9t + -3.5t = -40 + 3.5t + -3.5t Combine like terms: 9t + -3.5t = 5.5t -1.5 + 5.5t = -40 + 3.5t + -3.5t Combine like terms: 3.5t + -3.5t = 0.0 -1.5 + 5.5t = -40 + 0.0 -1.5 + 5.5t = -40 Add '1.5' to each side of the equation. -1.5 + 1.5 + 5.5t = -40 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 5.5t = -40 + 1.5 5.5t = -40 + 1.5 Combine like terms: -40 + 1.5 = -38.5 5.5t = -38.5 Divide each side by '5.5'. t = -7 Simplifying t = -7
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