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Simplifying -9(t + -8) + -1(t + 3) = 3 Reorder the terms: -9(-8 + t) + -1(t + 3) = 3 (-8 * -9 + t * -9) + -1(t + 3) = 3 (72 + -9t) + -1(t + 3) = 3 Reorder the terms: 72 + -9t + -1(3 + t) = 3 72 + -9t + (3 * -1 + t * -1) = 3 72 + -9t + (-3 + -1t) = 3 Reorder the terms: 72 + -3 + -9t + -1t = 3 Combine like terms: 72 + -3 = 69 69 + -9t + -1t = 3 Combine like terms: -9t + -1t = -10t 69 + -10t = 3 Solving 69 + -10t = 3 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-69' to each side of the equation. 69 + -69 + -10t = 3 + -69 Combine like terms: 69 + -69 = 0 0 + -10t = 3 + -69 -10t = 3 + -69 Combine like terms: 3 + -69 = -66 -10t = -66 Divide each side by '-10'. t = 6.6 Simplifying t = 6.6
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