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Simplifying 6(5 + -3t) + -17 + 5t = 0 (5 * 6 + -3t * 6) + -17 + 5t = 0 (30 + -18t) + -17 + 5t = 0 Reorder the terms: 30 + -17 + -18t + 5t = 0 Combine like terms: 30 + -17 = 13 13 + -18t + 5t = 0 Combine like terms: -18t + 5t = -13t 13 + -13t = 0 Solving 13 + -13t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -13t = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -13t = 0 + -13 -13t = 0 + -13 Combine like terms: 0 + -13 = -13 -13t = -13 Divide each side by '-13'. t = 1 Simplifying t = 1
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