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Simplifying 3 + 6t + -1(3t + 5) + -1(5t + 7) = 0 Reorder the terms: 3 + 6t + -1(5 + 3t) + -1(5t + 7) = 0 3 + 6t + (5 * -1 + 3t * -1) + -1(5t + 7) = 0 3 + 6t + (-5 + -3t) + -1(5t + 7) = 0 Reorder the terms: 3 + 6t + -5 + -3t + -1(7 + 5t) = 0 3 + 6t + -5 + -3t + (7 * -1 + 5t * -1) = 0 3 + 6t + -5 + -3t + (-7 + -5t) = 0 Reorder the terms: 3 + -5 + -7 + 6t + -3t + -5t = 0 Combine like terms: 3 + -5 = -2 -2 + -7 + 6t + -3t + -5t = 0 Combine like terms: -2 + -7 = -9 -9 + 6t + -3t + -5t = 0 Combine like terms: 6t + -3t = 3t -9 + 3t + -5t = 0 Combine like terms: 3t + -5t = -2t -9 + -2t = 0 Solving -9 + -2t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -2t = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2t = 0 + 9 -2t = 0 + 9 Combine like terms: 0 + 9 = 9 -2t = 9 Divide each side by '-2'. t = -4.5 Simplifying t = -4.5
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