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Simplifying -1(5 + -1t) + (3t + -6) = 0 (5 * -1 + -1t * -1) + (3t + -6) = 0 (-5 + 1t) + (3t + -6) = 0 Reorder the terms: -5 + 1t + (-6 + 3t) = 0 Remove parenthesis around (-6 + 3t) -5 + 1t + -6 + 3t = 0 Reorder the terms: -5 + -6 + 1t + 3t = 0 Combine like terms: -5 + -6 = -11 -11 + 1t + 3t = 0 Combine like terms: 1t + 3t = 4t -11 + 4t = 0 Solving -11 + 4t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 4t = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 4t = 0 + 11 4t = 0 + 11 Combine like terms: 0 + 11 = 11 4t = 11 Divide each side by '4'. t = 2.75 Simplifying t = 2.75
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