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Simplifying 5(4 + -1t) + -3 + -3t = 9 (4 * 5 + -1t * 5) + -3 + -3t = 9 (20 + -5t) + -3 + -3t = 9 Reorder the terms: 20 + -3 + -5t + -3t = 9 Combine like terms: 20 + -3 = 17 17 + -5t + -3t = 9 Combine like terms: -5t + -3t = -8t 17 + -8t = 9 Solving 17 + -8t = 9 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 + -8t = 9 + -17 Combine like terms: 17 + -17 = 0 0 + -8t = 9 + -17 -8t = 9 + -17 Combine like terms: 9 + -17 = -8 -8t = -8 Divide each side by '-8'. t = 1 Simplifying t = 1
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