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Simplifying 7 + 5t + -1(5t + 7) + -1(5t + 7) = 0 Reorder the terms: 7 + 5t + -1(7 + 5t) + -1(5t + 7) = 0 7 + 5t + (7 * -1 + 5t * -1) + -1(5t + 7) = 0 7 + 5t + (-7 + -5t) + -1(5t + 7) = 0 Reorder the terms: 7 + 5t + -7 + -5t + -1(7 + 5t) = 0 7 + 5t + -7 + -5t + (7 * -1 + 5t * -1) = 0 7 + 5t + -7 + -5t + (-7 + -5t) = 0 Reorder the terms: 7 + -7 + -7 + 5t + -5t + -5t = 0 Combine like terms: 7 + -7 = 0 0 + -7 + 5t + -5t + -5t = 0 -7 + 5t + -5t + -5t = 0 Combine like terms: 5t + -5t = 0 -7 + 0 + -5t = 0 -7 + -5t = 0 Solving -7 + -5t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -5t = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5t = 0 + 7 -5t = 0 + 7 Combine like terms: 0 + 7 = 7 -5t = 7 Divide each side by '-5'. t = -1.4 Simplifying t = -1.4
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