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Simplifying 5(t + -3) + -2t = -31 Reorder the terms: 5(-3 + t) + -2t = -31 (-3 * 5 + t * 5) + -2t = -31 (-15 + 5t) + -2t = -31 Combine like terms: 5t + -2t = 3t -15 + 3t = -31 Solving -15 + 3t = -31 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 = -31 + 15 Combine like terms: -15 + 15 = 0 0 + 3t = -31 + 15 3t = -31 + 15 Combine like terms: -31 + 15 = -16 3t = -16 Divide each side by '3'. t = -5.333333333 Simplifying t = -5.333333333
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