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Simplifying 5(t + -3) + -8t = -72 Reorder the terms: 5(-3 + t) + -8t = -72 (-3 * 5 + t * 5) + -8t = -72 (-15 + 5t) + -8t = -72 Combine like terms: 5t + -8t = -3t -15 + -3t = -72 Solving -15 + -3t = -72 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 = -72 + 15 Combine like terms: -15 + 15 = 0 0 + -3t = -72 + 15 -3t = -72 + 15 Combine like terms: -72 + 15 = -57 -3t = -57 Divide each side by '-3'. t = 19 Simplifying t = 19
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