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Simplifying 0 = 7(t + 8.5) + -5t + 4 Reorder the terms: 0 = 7(8.5 + t) + -5t + 4 0 = (8.5 * 7 + t * 7) + -5t + 4 0 = (59.5 + 7t) + -5t + 4 Reorder the terms: 0 = 59.5 + 4 + 7t + -5t Combine like terms: 59.5 + 4 = 63.5 0 = 63.5 + 7t + -5t Combine like terms: 7t + -5t = 2t 0 = 63.5 + 2t Solving 0 = 63.5 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 0 + -2t = 63.5 + 2t + -2t Remove the zero: -2t = 63.5 + 2t + -2t Combine like terms: 2t + -2t = 0 -2t = 63.5 + 0 -2t = 63.5 Divide each side by '-2'. t = -31.75 Simplifying t = -31.75
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