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Simplifying 5(t + -2) = 3(t + -2) Reorder the terms: 5(-2 + t) = 3(t + -2) (-2 * 5 + t * 5) = 3(t + -2) (-10 + 5t) = 3(t + -2) Reorder the terms: -10 + 5t = 3(-2 + t) -10 + 5t = (-2 * 3 + t * 3) -10 + 5t = (-6 + 3t) Solving -10 + 5t = -6 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -10 + 5t + -3t = -6 + 3t + -3t Combine like terms: 5t + -3t = 2t -10 + 2t = -6 + 3t + -3t Combine like terms: 3t + -3t = 0 -10 + 2t = -6 + 0 -10 + 2t = -6 Add '10' to each side of the equation. -10 + 10 + 2t = -6 + 10 Combine like terms: -10 + 10 = 0 0 + 2t = -6 + 10 2t = -6 + 10 Combine like terms: -6 + 10 = 4 2t = 4 Divide each side by '2'. t = 2 Simplifying t = 2
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