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Simplifying -1(6 + -1t) + (2t + -6) = 0 (6 * -1 + -1t * -1) + (2t + -6) = 0 (-6 + 1t) + (2t + -6) = 0 Reorder the terms: -6 + 1t + (-6 + 2t) = 0 Remove parenthesis around (-6 + 2t) -6 + 1t + -6 + 2t = 0 Reorder the terms: -6 + -6 + 1t + 2t = 0 Combine like terms: -6 + -6 = -12 -12 + 1t + 2t = 0 Combine like terms: 1t + 2t = 3t -12 + 3t = 0 Solving -12 + 3t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 3t = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 3t = 0 + 12 3t = 0 + 12 Combine like terms: 0 + 12 = 12 3t = 12 Divide each side by '3'. t = 4 Simplifying t = 4
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