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Simplifying 5t + -14t + -1(-8t) + -1(-16) = 5 Remove parenthesis around (-8t) 5t + -14t + -1 * -8t + -1(-16) = 5 Multiply -1 * -8 5t + -14t + 8t + -1(-16) = 5 Multiply -1 * -16 5t + -14t + 8t + 16 = 5 Reorder the terms: 16 + 5t + -14t + 8t = 5 Combine like terms: 5t + -14t = -9t 16 + -9t + 8t = 5 Combine like terms: -9t + 8t = -1t 16 + -1t = 5 Solving 16 + -1t = 5 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1t = 5 + -16 Combine like terms: 16 + -16 = 0 0 + -1t = 5 + -16 -1t = 5 + -16 Combine like terms: 5 + -16 = -11 -1t = -11 Divide each side by '-1'. t = 11 Simplifying t = 11
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