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Simplifying 5(t + -3) + -2t = -32 Reorder the terms: 5(-3 + t) + -2t = -32 (-3 * 5 + t * 5) + -2t = -32 (-15 + 5t) + -2t = -32 Combine like terms: 5t + -2t = 3t -15 + 3t = -32 Solving -15 + 3t = -32 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 3t = -32 + 15 Combine like terms: -15 + 15 = 0 0 + 3t = -32 + 15 3t = -32 + 15 Combine like terms: -32 + 15 = -17 3t = -17 Divide each side by '3'. t = -5.666666667 Simplifying t = -5.666666667
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