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Simplifying -1(7 + -1t) + (4t + -5) = 0 (7 * -1 + -1t * -1) + (4t + -5) = 0 (-7 + 1t) + (4t + -5) = 0 Reorder the terms: -7 + 1t + (-5 + 4t) = 0 Remove parenthesis around (-5 + 4t) -7 + 1t + -5 + 4t = 0 Reorder the terms: -7 + -5 + 1t + 4t = 0 Combine like terms: -7 + -5 = -12 -12 + 1t + 4t = 0 Combine like terms: 1t + 4t = 5t -12 + 5t = 0 Solving -12 + 5t = 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 + 5t = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 5t = 0 + 12 5t = 0 + 12 Combine like terms: 0 + 12 = 12 5t = 12 Divide each side by '5'. t = 2.4 Simplifying t = 2.4
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