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Simplifying 0.5t + 0.25(t + 16) = -6p + 12 Reorder the terms: 0.5t + 0.25(16 + t) = -6p + 12 0.5t + (16 * 0.25 + t * 0.25) = -6p + 12 0.5t + (4 + 0.25t) = -6p + 12 Reorder the terms: 4 + 0.5t + 0.25t = -6p + 12 Combine like terms: 0.5t + 0.25t = 0.75t 4 + 0.75t = -6p + 12 Reorder the terms: 4 + 0.75t = 12 + -6p Solving 4 + 0.75t = 12 + -6p Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 0.75t = 12 + -4 + -6p Combine like terms: 4 + -4 = 0 0 + 0.75t = 12 + -4 + -6p 0.75t = 12 + -4 + -6p Combine like terms: 12 + -4 = 8 0.75t = 8 + -6p Divide each side by '0.75'. t = 10.66666667 + -8p Simplifying t = 10.66666667 + -8p
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