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Simplifying -2(t + -8) + -1(t + 3) = 5 Reorder the terms: -2(-8 + t) + -1(t + 3) = 5 (-8 * -2 + t * -2) + -1(t + 3) = 5 (16 + -2t) + -1(t + 3) = 5 Reorder the terms: 16 + -2t + -1(3 + t) = 5 16 + -2t + (3 * -1 + t * -1) = 5 16 + -2t + (-3 + -1t) = 5 Reorder the terms: 16 + -3 + -2t + -1t = 5 Combine like terms: 16 + -3 = 13 13 + -2t + -1t = 5 Combine like terms: -2t + -1t = -3t 13 + -3t = 5 Solving 13 + -3t = 5 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 + -3t = 5 + -13 Combine like terms: 13 + -13 = 0 0 + -3t = 5 + -13 -3t = 5 + -13 Combine like terms: 5 + -13 = -8 -3t = -8 Divide each side by '-3'. t = 2.666666667 Simplifying t = 2.666666667
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