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Simplifying -3(t + -5) + -1(t + 7) = 3 Reorder the terms: -3(-5 + t) + -1(t + 7) = 3 (-5 * -3 + t * -3) + -1(t + 7) = 3 (15 + -3t) + -1(t + 7) = 3 Reorder the terms: 15 + -3t + -1(7 + t) = 3 15 + -3t + (7 * -1 + t * -1) = 3 15 + -3t + (-7 + -1t) = 3 Reorder the terms: 15 + -7 + -3t + -1t = 3 Combine like terms: 15 + -7 = 8 8 + -3t + -1t = 3 Combine like terms: -3t + -1t = -4t 8 + -4t = 3 Solving 8 + -4t = 3 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -4t = 3 + -8 Combine like terms: 8 + -8 = 0 0 + -4t = 3 + -8 -4t = 3 + -8 Combine like terms: 3 + -8 = -5 -4t = -5 Divide each side by '-4'. t = 1.25 Simplifying t = 1.25
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