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Simplifying (7 + -2t) + -1(8 + -7t) = 0 Remove parenthesis around (7 + -2t) 7 + -2t + -1(8 + -7t) = 0 7 + -2t + (8 * -1 + -7t * -1) = 0 7 + -2t + (-8 + 7t) = 0 Reorder the terms: 7 + -8 + -2t + 7t = 0 Combine like terms: 7 + -8 = -1 -1 + -2t + 7t = 0 Combine like terms: -2t + 7t = 5t -1 + 5t = 0 Solving -1 + 5t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 5t = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5t = 0 + 1 5t = 0 + 1 Combine like terms: 0 + 1 = 1 5t = 1 Divide each side by '5'. t = 0.2 Simplifying t = 0.2
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