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Simplifying -1(12 + -1t) + (3t + -5) = 0 (12 * -1 + -1t * -1) + (3t + -5) = 0 (-12 + 1t) + (3t + -5) = 0 Reorder the terms: -12 + 1t + (-5 + 3t) = 0 Remove parenthesis around (-5 + 3t) -12 + 1t + -5 + 3t = 0 Reorder the terms: -12 + -5 + 1t + 3t = 0 Combine like terms: -12 + -5 = -17 -17 + 1t + 3t = 0 Combine like terms: 1t + 3t = 4t -17 + 4t = 0 Solving -17 + 4t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 4t = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 4t = 0 + 17 4t = 0 + 17 Combine like terms: 0 + 17 = 17 4t = 17 Divide each side by '4'. t = 4.25 Simplifying t = 4.25
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