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Simplifying 2(5t + -13) + -17t = 16 Reorder the terms: 2(-13 + 5t) + -17t = 16 (-13 * 2 + 5t * 2) + -17t = 16 (-26 + 10t) + -17t = 16 Combine like terms: 10t + -17t = -7t -26 + -7t = 16 Solving -26 + -7t = 16 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + -7t = 16 + 26 Combine like terms: -26 + 26 = 0 0 + -7t = 16 + 26 -7t = 16 + 26 Combine like terms: 16 + 26 = 42 -7t = 42 Divide each side by '-7'. t = -6 Simplifying t = -6
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