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Simplifying 5t + -2(t + 2) = -1(2t + 15) Reorder the terms: 5t + -2(2 + t) = -1(2t + 15) 5t + (2 * -2 + t * -2) = -1(2t + 15) 5t + (-4 + -2t) = -1(2t + 15) Reorder the terms: -4 + 5t + -2t = -1(2t + 15) Combine like terms: 5t + -2t = 3t -4 + 3t = -1(2t + 15) Reorder the terms: -4 + 3t = -1(15 + 2t) -4 + 3t = (15 * -1 + 2t * -1) -4 + 3t = (-15 + -2t) Solving -4 + 3t = -15 + -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. -4 + 3t + 2t = -15 + -2t + 2t Combine like terms: 3t + 2t = 5t -4 + 5t = -15 + -2t + 2t Combine like terms: -2t + 2t = 0 -4 + 5t = -15 + 0 -4 + 5t = -15 Add '4' to each side of the equation. -4 + 4 + 5t = -15 + 4 Combine like terms: -4 + 4 = 0 0 + 5t = -15 + 4 5t = -15 + 4 Combine like terms: -15 + 4 = -11 5t = -11 Divide each side by '5'. t = -2.2 Simplifying t = -2.2
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