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Simplifying 2(5t + -3) = -2(t + 3) Reorder the terms: 2(-3 + 5t) = -2(t + 3) (-3 * 2 + 5t * 2) = -2(t + 3) (-6 + 10t) = -2(t + 3) Reorder the terms: -6 + 10t = -2(3 + t) -6 + 10t = (3 * -2 + t * -2) -6 + 10t = (-6 + -2t) Add '6' to each side of the equation. -6 + 6 + 10t = -6 + 6 + -2t Combine like terms: -6 + 6 = 0 0 + 10t = -6 + 6 + -2t 10t = -6 + 6 + -2t Combine like terms: -6 + 6 = 0 10t = 0 + -2t 10t = -2t Solving 10t = -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. 10t + 2t = -2t + 2t Combine like terms: 10t + 2t = 12t 12t = -2t + 2t Combine like terms: -2t + 2t = 0 12t = 0 Divide each side by '12'. t = 0 Simplifying t = 0
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