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Simplifying 0.5t + (t + 16) = 4 + 0.75t Reorder the terms: 0.5t + (16 + t) = 4 + 0.75t Remove parenthesis around (16 + t) 0.5t + 16 + t = 4 + 0.75t Reorder the terms: 16 + 0.5t + t = 4 + 0.75t Combine like terms: 0.5t + t = 1.5t 16 + 1.5t = 4 + 0.75t Solving 16 + 1.5t = 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. 16 + 1.5t + -0.75t = 4 + 0.75t + -0.75t Combine like terms: 1.5t + -0.75t = 0.75t 16 + 0.75t = 4 + 0.75t + -0.75t Combine like terms: 0.75t + -0.75t = 0.00 16 + 0.75t = 4 + 0.00 16 + 0.75t = 4 Add '-16' to each side of the equation. 16 + -16 + 0.75t = 4 + -16 Combine like terms: 16 + -16 = 0 0 + 0.75t = 4 + -16 0.75t = 4 + -16 Combine like terms: 4 + -16 = -12 0.75t = -12 Divide each side by '0.75'. t = -16 Simplifying t = -16
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