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Simplifying -3(t + -8) + -1(t + 8) = 11 Reorder the terms: -3(-8 + t) + -1(t + 8) = 11 (-8 * -3 + t * -3) + -1(t + 8) = 11 (24 + -3t) + -1(t + 8) = 11 Reorder the terms: 24 + -3t + -1(8 + t) = 11 24 + -3t + (8 * -1 + t * -1) = 11 24 + -3t + (-8 + -1t) = 11 Reorder the terms: 24 + -8 + -3t + -1t = 11 Combine like terms: 24 + -8 = 16 16 + -3t + -1t = 11 Combine like terms: -3t + -1t = -4t 16 + -4t = 11 Solving 16 + -4t = 11 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -4t = 11 + -16 Combine like terms: 16 + -16 = 0 0 + -4t = 11 + -16 -4t = 11 + -16 Combine like terms: 11 + -16 = -5 -4t = -5 Divide each side by '-4'. t = 1.25 Simplifying t = 1.25
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