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Simplifying 17.75 = 3 + 3.5(t + -1) Reorder the terms: 17.75 = 3 + 3.5(-1 + t) 17.75 = 3 + (-1 * 3.5 + t * 3.5) 17.75 = 3 + (-3.5 + 3.5t) Combine like terms: 3 + -3.5 = -0.5 17.75 = -0.5 + 3.5t Solving 17.75 = -0.5 + 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. 17.75 + -3.5t = -0.5 + 3.5t + -3.5t Combine like terms: 3.5t + -3.5t = 0.0 17.75 + -3.5t = -0.5 + 0.0 17.75 + -3.5t = -0.5 Add '-17.75' to each side of the equation. 17.75 + -17.75 + -3.5t = -0.5 + -17.75 Combine like terms: 17.75 + -17.75 = 0.00 0.00 + -3.5t = -0.5 + -17.75 -3.5t = -0.5 + -17.75 Combine like terms: -0.5 + -17.75 = -18.25 -3.5t = -18.25 Divide each side by '-3.5'. t = 5.214285714 Simplifying t = 5.214285714
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