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Simplifying -3(t + -8) + -1(t + 3) = 8 Reorder the terms: -3(-8 + t) + -1(t + 3) = 8 (-8 * -3 + t * -3) + -1(t + 3) = 8 (24 + -3t) + -1(t + 3) = 8 Reorder the terms: 24 + -3t + -1(3 + t) = 8 24 + -3t + (3 * -1 + t * -1) = 8 24 + -3t + (-3 + -1t) = 8 Reorder the terms: 24 + -3 + -3t + -1t = 8 Combine like terms: 24 + -3 = 21 21 + -3t + -1t = 8 Combine like terms: -3t + -1t = -4t 21 + -4t = 8 Solving 21 + -4t = 8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -4t = 8 + -21 Combine like terms: 21 + -21 = 0 0 + -4t = 8 + -21 -4t = 8 + -21 Combine like terms: 8 + -21 = -13 -4t = -13 Divide each side by '-4'. t = 3.25 Simplifying t = 3.25
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