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Simplifying -3(8 + -3t) + -7t = -5(2 + t) (8 * -3 + -3t * -3) + -7t = -5(2 + t) (-24 + 9t) + -7t = -5(2 + t) Combine like terms: 9t + -7t = 2t -24 + 2t = -5(2 + t) -24 + 2t = (2 * -5 + t * -5) -24 + 2t = (-10 + -5t) Solving -24 + 2t = -10 + -5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5t' to each side of the equation. -24 + 2t + 5t = -10 + -5t + 5t Combine like terms: 2t + 5t = 7t -24 + 7t = -10 + -5t + 5t Combine like terms: -5t + 5t = 0 -24 + 7t = -10 + 0 -24 + 7t = -10 Add '24' to each side of the equation. -24 + 24 + 7t = -10 + 24 Combine like terms: -24 + 24 = 0 0 + 7t = -10 + 24 7t = -10 + 24 Combine like terms: -10 + 24 = 14 7t = 14 Divide each side by '7'. t = 2 Simplifying t = 2
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