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Simplifying (3 + -1t) + -1(7 + 7t) = 0 Remove parenthesis around (3 + -1t) 3 + -1t + -1(7 + 7t) = 0 3 + -1t + (7 * -1 + 7t * -1) = 0 3 + -1t + (-7 + -7t) = 0 Reorder the terms: 3 + -7 + -1t + -7t = 0 Combine like terms: 3 + -7 = -4 -4 + -1t + -7t = 0 Combine like terms: -1t + -7t = -8t -4 + -8t = 0 Solving -4 + -8t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -8t = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -8t = 0 + 4 -8t = 0 + 4 Combine like terms: 0 + 4 = 4 -8t = 4 Divide each side by '-8'. t = -0.5 Simplifying t = -0.5
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