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Simplifying 5(t + -4) + -3(t + -2) = 12 Reorder the terms: 5(-4 + t) + -3(t + -2) = 12 (-4 * 5 + t * 5) + -3(t + -2) = 12 (-20 + 5t) + -3(t + -2) = 12 Reorder the terms: -20 + 5t + -3(-2 + t) = 12 -20 + 5t + (-2 * -3 + t * -3) = 12 -20 + 5t + (6 + -3t) = 12 Reorder the terms: -20 + 6 + 5t + -3t = 12 Combine like terms: -20 + 6 = -14 -14 + 5t + -3t = 12 Combine like terms: 5t + -3t = 2t -14 + 2t = 12 Solving -14 + 2t = 12 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 2t = 12 + 14 Combine like terms: -14 + 14 = 0 0 + 2t = 12 + 14 2t = 12 + 14 Combine like terms: 12 + 14 = 26 2t = 26 Divide each side by '2'. t = 13 Simplifying t = 13
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