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Simplifying 3 = (t + -0.75(0.5)) * 0.5 Multiply -0.75 * 0.5 3 = (t + -0.375) * 0.5 Reorder the terms: 3 = (-0.375 + t) * 0.5 Reorder the terms for easier multiplication: 3 = 0.5(-0.375 + t) 3 = (-0.375 * 0.5 + t * 0.5) 3 = (-0.1875 + 0.5t) Solving 3 = -0.1875 + 0.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.5t' to each side of the equation. 3 + -0.5t = -0.1875 + 0.5t + -0.5t Combine like terms: 0.5t + -0.5t = 0.0 3 + -0.5t = -0.1875 + 0.0 3 + -0.5t = -0.1875 Add '-3' to each side of the equation. 3 + -3 + -0.5t = -0.1875 + -3 Combine like terms: 3 + -3 = 0 0 + -0.5t = -0.1875 + -3 -0.5t = -0.1875 + -3 Combine like terms: -0.1875 + -3 = -3.1875 -0.5t = -3.1875 Divide each side by '-0.5'. t = 6.375 Simplifying t = 6.375
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