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Simplifying -9(t + -3) + -1(t + 8) = 10 Reorder the terms: -9(-3 + t) + -1(t + 8) = 10 (-3 * -9 + t * -9) + -1(t + 8) = 10 (27 + -9t) + -1(t + 8) = 10 Reorder the terms: 27 + -9t + -1(8 + t) = 10 27 + -9t + (8 * -1 + t * -1) = 10 27 + -9t + (-8 + -1t) = 10 Reorder the terms: 27 + -8 + -9t + -1t = 10 Combine like terms: 27 + -8 = 19 19 + -9t + -1t = 10 Combine like terms: -9t + -1t = -10t 19 + -10t = 10 Solving 19 + -10t = 10 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -10t = 10 + -19 Combine like terms: 19 + -19 = 0 0 + -10t = 10 + -19 -10t = 10 + -19 Combine like terms: 10 + -19 = -9 -10t = -9 Divide each side by '-10'. t = 0.9 Simplifying t = 0.9
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