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Simplifying -9(t + -4) + -1(t + 3) = 8 Reorder the terms: -9(-4 + t) + -1(t + 3) = 8 (-4 * -9 + t * -9) + -1(t + 3) = 8 (36 + -9t) + -1(t + 3) = 8 Reorder the terms: 36 + -9t + -1(3 + t) = 8 36 + -9t + (3 * -1 + t * -1) = 8 36 + -9t + (-3 + -1t) = 8 Reorder the terms: 36 + -3 + -9t + -1t = 8 Combine like terms: 36 + -3 = 33 33 + -9t + -1t = 8 Combine like terms: -9t + -1t = -10t 33 + -10t = 8 Solving 33 + -10t = 8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -10t = 8 + -33 Combine like terms: 33 + -33 = 0 0 + -10t = 8 + -33 -10t = 8 + -33 Combine like terms: 8 + -33 = -25 -10t = -25 Divide each side by '-10'. t = 2.5 Simplifying t = 2.5
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