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Simplifying 5(t2 + -3t + -2) = t(5t + -2) Reorder the terms: 5(-2 + -3t + t2) = t(5t + -2) (-2 * 5 + -3t * 5 + t2 * 5) = t(5t + -2) (-10 + -15t + 5t2) = t(5t + -2) Reorder the terms: -10 + -15t + 5t2 = t(-2 + 5t) -10 + -15t + 5t2 = (-2 * t + 5t * t) -10 + -15t + 5t2 = (-2t + 5t2) Add '-5t2' to each side of the equation. -10 + -15t + 5t2 + -5t2 = -2t + 5t2 + -5t2 Combine like terms: 5t2 + -5t2 = 0 -10 + -15t + 0 = -2t + 5t2 + -5t2 -10 + -15t = -2t + 5t2 + -5t2 Combine like terms: 5t2 + -5t2 = 0 -10 + -15t = -2t + 0 -10 + -15t = -2t Solving -10 + -15t = -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. -10 + -15t + 2t = -2t + 2t Combine like terms: -15t + 2t = -13t -10 + -13t = -2t + 2t Combine like terms: -2t + 2t = 0 -10 + -13t = 0 Add '10' to each side of the equation. -10 + 10 + -13t = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -13t = 0 + 10 -13t = 0 + 10 Combine like terms: 0 + 10 = 10 -13t = 10 Divide each side by '-13'. t = -0.7692307692 Simplifying t = -0.7692307692
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