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Simplifying -4(t + 5) + 2t = 5 + t Reorder the terms: -4(5 + t) + 2t = 5 + t (5 * -4 + t * -4) + 2t = 5 + t (-20 + -4t) + 2t = 5 + t Combine like terms: -4t + 2t = -2t -20 + -2t = 5 + t Solving -20 + -2t = 5 + t 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. -20 + -2t + -1t = 5 + t + -1t Combine like terms: -2t + -1t = -3t -20 + -3t = 5 + t + -1t Combine like terms: t + -1t = 0 -20 + -3t = 5 + 0 -20 + -3t = 5 Add '20' to each side of the equation. -20 + 20 + -3t = 5 + 20 Combine like terms: -20 + 20 = 0 0 + -3t = 5 + 20 -3t = 5 + 20 Combine like terms: 5 + 20 = 25 -3t = 25 Divide each side by '-3'. t = -8.333333333 Simplifying t = -8.333333333
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