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Simplifying (8 + -5t) + -1(-9 + -4t) = 0 Remove parenthesis around (8 + -5t) 8 + -5t + -1(-9 + -4t) = 0 8 + -5t + (-9 * -1 + -4t * -1) = 0 8 + -5t + (9 + 4t) = 0 Reorder the terms: 8 + 9 + -5t + 4t = 0 Combine like terms: 8 + 9 = 17 17 + -5t + 4t = 0 Combine like terms: -5t + 4t = -1t 17 + -1t = 0 Solving 17 + -1t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1t = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1t = 0 + -17 -1t = 0 + -17 Combine like terms: 0 + -17 = -17 -1t = -17 Divide each side by '-1'. t = 17 Simplifying t = 17
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