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Simplifying -3(t + -9) + -1(t + 5) = 3 Reorder the terms: -3(-9 + t) + -1(t + 5) = 3 (-9 * -3 + t * -3) + -1(t + 5) = 3 (27 + -3t) + -1(t + 5) = 3 Reorder the terms: 27 + -3t + -1(5 + t) = 3 27 + -3t + (5 * -1 + t * -1) = 3 27 + -3t + (-5 + -1t) = 3 Reorder the terms: 27 + -5 + -3t + -1t = 3 Combine like terms: 27 + -5 = 22 22 + -3t + -1t = 3 Combine like terms: -3t + -1t = -4t 22 + -4t = 3 Solving 22 + -4t = 3 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -4t = 3 + -22 Combine like terms: 22 + -22 = 0 0 + -4t = 3 + -22 -4t = 3 + -22 Combine like terms: 3 + -22 = -19 -4t = -19 Divide each side by '-4'. t = 4.75 Simplifying t = 4.75
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