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Simplifying -8(t + -2) + -1(t + 3) = 9 Reorder the terms: -8(-2 + t) + -1(t + 3) = 9 (-2 * -8 + t * -8) + -1(t + 3) = 9 (16 + -8t) + -1(t + 3) = 9 Reorder the terms: 16 + -8t + -1(3 + t) = 9 16 + -8t + (3 * -1 + t * -1) = 9 16 + -8t + (-3 + -1t) = 9 Reorder the terms: 16 + -3 + -8t + -1t = 9 Combine like terms: 16 + -3 = 13 13 + -8t + -1t = 9 Combine like terms: -8t + -1t = -9t 13 + -9t = 9 Solving 13 + -9t = 9 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 + -9t = 9 + -13 Combine like terms: 13 + -13 = 0 0 + -9t = 9 + -13 -9t = 9 + -13 Combine like terms: 9 + -13 = -4 -9t = -4 Divide each side by '-9'. t = 0.4444444444 Simplifying t = 0.4444444444
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