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Simplifying -1(12 + -1t) + (4t + -6) = 0 (12 * -1 + -1t * -1) + (4t + -6) = 0 (-12 + 1t) + (4t + -6) = 0 Reorder the terms: -12 + 1t + (-6 + 4t) = 0 Remove parenthesis around (-6 + 4t) -12 + 1t + -6 + 4t = 0 Reorder the terms: -12 + -6 + 1t + 4t = 0 Combine like terms: -12 + -6 = -18 -18 + 1t + 4t = 0 Combine like terms: 1t + 4t = 5t -18 + 5t = 0 Solving -18 + 5t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 5t = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 5t = 0 + 18 5t = 0 + 18 Combine like terms: 0 + 18 = 18 5t = 18 Divide each side by '5'. t = 3.6 Simplifying t = 3.6
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