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Simplifying -3(t + 4) + -1(t + 6) = 2 Reorder the terms: -3(4 + t) + -1(t + 6) = 2 (4 * -3 + t * -3) + -1(t + 6) = 2 (-12 + -3t) + -1(t + 6) = 2 Reorder the terms: -12 + -3t + -1(6 + t) = 2 -12 + -3t + (6 * -1 + t * -1) = 2 -12 + -3t + (-6 + -1t) = 2 Reorder the terms: -12 + -6 + -3t + -1t = 2 Combine like terms: -12 + -6 = -18 -18 + -3t + -1t = 2 Combine like terms: -3t + -1t = -4t -18 + -4t = 2 Solving -18 + -4t = 2 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 = 2 + 18 Combine like terms: -18 + 18 = 0 0 + -4t = 2 + 18 -4t = 2 + 18 Combine like terms: 2 + 18 = 20 -4t = 20 Divide each side by '-4'. t = -5 Simplifying t = -5
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