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Simplifying -3(t + -8) + -1(t + 4) = 1 Reorder the terms: -3(-8 + t) + -1(t + 4) = 1 (-8 * -3 + t * -3) + -1(t + 4) = 1 (24 + -3t) + -1(t + 4) = 1 Reorder the terms: 24 + -3t + -1(4 + t) = 1 24 + -3t + (4 * -1 + t * -1) = 1 24 + -3t + (-4 + -1t) = 1 Reorder the terms: 24 + -4 + -3t + -1t = 1 Combine like terms: 24 + -4 = 20 20 + -3t + -1t = 1 Combine like terms: -3t + -1t = -4t 20 + -4t = 1 Solving 20 + -4t = 1 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -4t = 1 + -20 Combine like terms: 20 + -20 = 0 0 + -4t = 1 + -20 -4t = 1 + -20 Combine like terms: 1 + -20 = -19 -4t = -19 Divide each side by '-4'. t = 4.75 Simplifying t = 4.75
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