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Simplifying 5(t + -2) + 3(t + -13) = 23 Reorder the terms: 5(-2 + t) + 3(t + -13) = 23 (-2 * 5 + t * 5) + 3(t + -13) = 23 (-10 + 5t) + 3(t + -13) = 23 Reorder the terms: -10 + 5t + 3(-13 + t) = 23 -10 + 5t + (-13 * 3 + t * 3) = 23 -10 + 5t + (-39 + 3t) = 23 Reorder the terms: -10 + -39 + 5t + 3t = 23 Combine like terms: -10 + -39 = -49 -49 + 5t + 3t = 23 Combine like terms: 5t + 3t = 8t -49 + 8t = 23 Solving -49 + 8t = 23 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 8t = 23 + 49 Combine like terms: -49 + 49 = 0 0 + 8t = 23 + 49 8t = 23 + 49 Combine like terms: 23 + 49 = 72 8t = 72 Divide each side by '8'. t = 9 Simplifying t = 9
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