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Simplifying -5(t + 2) + 3t = 8 Reorder the terms: -5(2 + t) + 3t = 8 (2 * -5 + t * -5) + 3t = 8 (-10 + -5t) + 3t = 8 Combine like terms: -5t + 3t = -2t -10 + -2t = 8 Solving -10 + -2t = 8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -2t = 8 + 10 Combine like terms: -10 + 10 = 0 0 + -2t = 8 + 10 -2t = 8 + 10 Combine like terms: 8 + 10 = 18 -2t = 18 Divide each side by '-2'. t = -9 Simplifying t = -9
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