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Simplifying -1(7 + -1t) + (3t + -6) = 0 (7 * -1 + -1t * -1) + (3t + -6) = 0 (-7 + 1t) + (3t + -6) = 0 Reorder the terms: -7 + 1t + (-6 + 3t) = 0 Remove parenthesis around (-6 + 3t) -7 + 1t + -6 + 3t = 0 Reorder the terms: -7 + -6 + 1t + 3t = 0 Combine like terms: -7 + -6 = -13 -13 + 1t + 3t = 0 Combine like terms: 1t + 3t = 4t -13 + 4t = 0 Solving -13 + 4t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 4t = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 4t = 0 + 13 4t = 0 + 13 Combine like terms: 0 + 13 = 13 4t = 13 Divide each side by '4'. t = 3.25 Simplifying t = 3.25
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