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Simplifying -5(1 + t) = -2(10 + t) (1 * -5 + t * -5) = -2(10 + t) (-5 + -5t) = -2(10 + t) -5 + -5t = (10 * -2 + t * -2) -5 + -5t = (-20 + -2t) Solving -5 + -5t = -20 + -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. -5 + -5t + 2t = -20 + -2t + 2t Combine like terms: -5t + 2t = -3t -5 + -3t = -20 + -2t + 2t Combine like terms: -2t + 2t = 0 -5 + -3t = -20 + 0 -5 + -3t = -20 Add '5' to each side of the equation. -5 + 5 + -3t = -20 + 5 Combine like terms: -5 + 5 = 0 0 + -3t = -20 + 5 -3t = -20 + 5 Combine like terms: -20 + 5 = -15 -3t = -15 Divide each side by '-3'. t = 5 Simplifying t = 5
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