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Simplifying 3(3t + -8) + -13t = -16 Reorder the terms: 3(-8 + 3t) + -13t = -16 (-8 * 3 + 3t * 3) + -13t = -16 (-24 + 9t) + -13t = -16 Combine like terms: 9t + -13t = -4t -24 + -4t = -16 Solving -24 + -4t = -16 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -4t = -16 + 24 Combine like terms: -24 + 24 = 0 0 + -4t = -16 + 24 -4t = -16 + 24 Combine like terms: -16 + 24 = 8 -4t = 8 Divide each side by '-4'. t = -2 Simplifying t = -2
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