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Simplifying -5(t + 4) + 2t = -2 + t Reorder the terms: -5(4 + t) + 2t = -2 + t (4 * -5 + t * -5) + 2t = -2 + t (-20 + -5t) + 2t = -2 + t Combine like terms: -5t + 2t = -3t -20 + -3t = -2 + t Solving -20 + -3t = -2 + 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 + -3t + -1t = -2 + t + -1t Combine like terms: -3t + -1t = -4t -20 + -4t = -2 + t + -1t Combine like terms: t + -1t = 0 -20 + -4t = -2 + 0 -20 + -4t = -2 Add '20' to each side of the equation. -20 + 20 + -4t = -2 + 20 Combine like terms: -20 + 20 = 0 0 + -4t = -2 + 20 -4t = -2 + 20 Combine like terms: -2 + 20 = 18 -4t = 18 Divide each side by '-4'. t = -4.5 Simplifying t = -4.5
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