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Simplifying 5(t + -2) = 2t + -40 Reorder the terms: 5(-2 + t) = 2t + -40 (-2 * 5 + t * 5) = 2t + -40 (-10 + 5t) = 2t + -40 Reorder the terms: -10 + 5t = -40 + 2t Solving -10 + 5t = -40 + 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 + 5t + -2t = -40 + 2t + -2t Combine like terms: 5t + -2t = 3t -10 + 3t = -40 + 2t + -2t Combine like terms: 2t + -2t = 0 -10 + 3t = -40 + 0 -10 + 3t = -40 Add '10' to each side of the equation. -10 + 10 + 3t = -40 + 10 Combine like terms: -10 + 10 = 0 0 + 3t = -40 + 10 3t = -40 + 10 Combine like terms: -40 + 10 = -30 3t = -30 Divide each side by '3'. t = -10 Simplifying t = -10
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