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Simplifying -9(t + -2) + -1(t + 4) = 8 Reorder the terms: -9(-2 + t) + -1(t + 4) = 8 (-2 * -9 + t * -9) + -1(t + 4) = 8 (18 + -9t) + -1(t + 4) = 8 Reorder the terms: 18 + -9t + -1(4 + t) = 8 18 + -9t + (4 * -1 + t * -1) = 8 18 + -9t + (-4 + -1t) = 8 Reorder the terms: 18 + -4 + -9t + -1t = 8 Combine like terms: 18 + -4 = 14 14 + -9t + -1t = 8 Combine like terms: -9t + -1t = -10t 14 + -10t = 8 Solving 14 + -10t = 8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -10t = 8 + -14 Combine like terms: 14 + -14 = 0 0 + -10t = 8 + -14 -10t = 8 + -14 Combine like terms: 8 + -14 = -6 -10t = -6 Divide each side by '-10'. t = 0.6 Simplifying t = 0.6
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