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Simplifying 2(6 + 1) + -4(t + -1) = 0 Combine like terms: 6 + 1 = 7 2(7) + -4(t + -1) = 0 Multiply 2 * 7 14 + -4(t + -1) = 0 Reorder the terms: 14 + -4(-1 + t) = 0 14 + (-1 * -4 + t * -4) = 0 14 + (4 + -4t) = 0 Combine like terms: 14 + 4 = 18 18 + -4t = 0 Solving 18 + -4t = 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 + -4t = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -4t = 0 + -18 -4t = 0 + -18 Combine like terms: 0 + -18 = -18 -4t = -18 Divide each side by '-4'. t = 4.5 Simplifying t = 4.5
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