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Simplifying (7t + -1) + -1(8t + 5) = 0 Reorder the terms: (-1 + 7t) + -1(8t + 5) = 0 Remove parenthesis around (-1 + 7t) -1 + 7t + -1(8t + 5) = 0 Reorder the terms: -1 + 7t + -1(5 + 8t) = 0 -1 + 7t + (5 * -1 + 8t * -1) = 0 -1 + 7t + (-5 + -8t) = 0 Reorder the terms: -1 + -5 + 7t + -8t = 0 Combine like terms: -1 + -5 = -6 -6 + 7t + -8t = 0 Combine like terms: 7t + -8t = -1t -6 + -1t = 0 Solving -6 + -1t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1t = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1t = 0 + 6 -1t = 0 + 6 Combine like terms: 0 + 6 = 6 -1t = 6 Divide each side by '-1'. t = -6 Simplifying t = -6
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