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Simplifying 2(t + -5) = 3 + -1(4 + -1t) Reorder the terms: 2(-5 + t) = 3 + -1(4 + -1t) (-5 * 2 + t * 2) = 3 + -1(4 + -1t) (-10 + 2t) = 3 + -1(4 + -1t) -10 + 2t = 3 + (4 * -1 + -1t * -1) -10 + 2t = 3 + (-4 + 1t) Combine like terms: 3 + -4 = -1 -10 + 2t = -1 + 1t Solving -10 + 2t = -1 + 1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -10 + 2t + -1t = -1 + 1t + -1t Combine like terms: 2t + -1t = 1t -10 + 1t = -1 + 1t + -1t Combine like terms: 1t + -1t = 0 -10 + 1t = -1 + 0 -10 + 1t = -1 Add '10' to each side of the equation. -10 + 10 + 1t = -1 + 10 Combine like terms: -10 + 10 = 0 0 + 1t = -1 + 10 1t = -1 + 10 Combine like terms: -1 + 10 = 9 1t = 9 Divide each side by '1'. t = 9 Simplifying t = 9
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