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Simplifying -3(t + -5) + -1(t + 5) = 7 Reorder the terms: -3(-5 + t) + -1(t + 5) = 7 (-5 * -3 + t * -3) + -1(t + 5) = 7 (15 + -3t) + -1(t + 5) = 7 Reorder the terms: 15 + -3t + -1(5 + t) = 7 15 + -3t + (5 * -1 + t * -1) = 7 15 + -3t + (-5 + -1t) = 7 Reorder the terms: 15 + -5 + -3t + -1t = 7 Combine like terms: 15 + -5 = 10 10 + -3t + -1t = 7 Combine like terms: -3t + -1t = -4t 10 + -4t = 7 Solving 10 + -4t = 7 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -4t = 7 + -10 Combine like terms: 10 + -10 = 0 0 + -4t = 7 + -10 -4t = 7 + -10 Combine like terms: 7 + -10 = -3 -4t = -3 Divide each side by '-4'. t = 0.75 Simplifying t = 0.75
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