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Simplifying 0.5t + 0.025(t + 16) = 4 + 0.75t Reorder the terms: 0.5t + 0.025(16 + t) = 4 + 0.75t 0.5t + (16 * 0.025 + t * 0.025) = 4 + 0.75t 0.5t + (0.4 + 0.025t) = 4 + 0.75t Reorder the terms: 0.4 + 0.5t + 0.025t = 4 + 0.75t Combine like terms: 0.5t + 0.025t = 0.525t 0.4 + 0.525t = 4 + 0.75t Solving 0.4 + 0.525t = 4 + 0.75t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.75t' to each side of the equation. 0.4 + 0.525t + -0.75t = 4 + 0.75t + -0.75t Combine like terms: 0.525t + -0.75t = -0.225t 0.4 + -0.225t = 4 + 0.75t + -0.75t Combine like terms: 0.75t + -0.75t = 0.00 0.4 + -0.225t = 4 + 0.00 0.4 + -0.225t = 4 Add '-0.4' to each side of the equation. 0.4 + -0.4 + -0.225t = 4 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -0.225t = 4 + -0.4 -0.225t = 4 + -0.4 Combine like terms: 4 + -0.4 = 3.6 -0.225t = 3.6 Divide each side by '-0.225'. t = -16 Simplifying t = -16
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