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Simplifying -1(12 + -1t) + -1(4t + -6) = 0 (12 * -1 + -1t * -1) + -1(4t + -6) = 0 (-12 + 1t) + -1(4t + -6) = 0 Reorder the terms: -12 + 1t + -1(-6 + 4t) = 0 -12 + 1t + (-6 * -1 + 4t * -1) = 0 -12 + 1t + (6 + -4t) = 0 Reorder the terms: -12 + 6 + 1t + -4t = 0 Combine like terms: -12 + 6 = -6 -6 + 1t + -4t = 0 Combine like terms: 1t + -4t = -3t -6 + -3t = 0 Solving -6 + -3t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -3t = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -3t = 0 + 6 -3t = 0 + 6 Combine like terms: 0 + 6 = 6 -3t = 6 Divide each side by '-3'. t = -2 Simplifying t = -2
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