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Simplifying t + -8 + 4t = 3(3t + -8) Reorder the terms: -8 + t + 4t = 3(3t + -8) Combine like terms: t + 4t = 5t -8 + 5t = 3(3t + -8) Reorder the terms: -8 + 5t = 3(-8 + 3t) -8 + 5t = (-8 * 3 + 3t * 3) -8 + 5t = (-24 + 9t) Solving -8 + 5t = -24 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. -8 + 5t + -9t = -24 + 9t + -9t Combine like terms: 5t + -9t = -4t -8 + -4t = -24 + 9t + -9t Combine like terms: 9t + -9t = 0 -8 + -4t = -24 + 0 -8 + -4t = -24 Add '8' to each side of the equation. -8 + 8 + -4t = -24 + 8 Combine like terms: -8 + 8 = 0 0 + -4t = -24 + 8 -4t = -24 + 8 Combine like terms: -24 + 8 = -16 -4t = -16 Divide each side by '-4'. t = 4 Simplifying t = 4
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