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Simplifying -3(t + -4) + -1(t + 8) = 11 Reorder the terms: -3(-4 + t) + -1(t + 8) = 11 (-4 * -3 + t * -3) + -1(t + 8) = 11 (12 + -3t) + -1(t + 8) = 11 Reorder the terms: 12 + -3t + -1(8 + t) = 11 12 + -3t + (8 * -1 + t * -1) = 11 12 + -3t + (-8 + -1t) = 11 Reorder the terms: 12 + -8 + -3t + -1t = 11 Combine like terms: 12 + -8 = 4 4 + -3t + -1t = 11 Combine like terms: -3t + -1t = -4t 4 + -4t = 11 Solving 4 + -4t = 11 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -4t = 11 + -4 Combine like terms: 4 + -4 = 0 0 + -4t = 11 + -4 -4t = 11 + -4 Combine like terms: 11 + -4 = 7 -4t = 7 Divide each side by '-4'. t = -1.75 Simplifying t = -1.75
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