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Simplifying -3(t + -5) + -1(t + -2) = 10 Reorder the terms: -3(-5 + t) + -1(t + -2) = 10 (-5 * -3 + t * -3) + -1(t + -2) = 10 (15 + -3t) + -1(t + -2) = 10 Reorder the terms: 15 + -3t + -1(-2 + t) = 10 15 + -3t + (-2 * -1 + t * -1) = 10 15 + -3t + (2 + -1t) = 10 Reorder the terms: 15 + 2 + -3t + -1t = 10 Combine like terms: 15 + 2 = 17 17 + -3t + -1t = 10 Combine like terms: -3t + -1t = -4t 17 + -4t = 10 Solving 17 + -4t = 10 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -4t = 10 + -17 Combine like terms: 17 + -17 = 0 0 + -4t = 10 + -17 -4t = 10 + -17 Combine like terms: 10 + -17 = -7 -4t = -7 Divide each side by '-4'. t = 1.75 Simplifying t = 1.75
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