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Simplifying -6(t + 4) + -3(t + -2) = 0 Reorder the terms: -6(4 + t) + -3(t + -2) = 0 (4 * -6 + t * -6) + -3(t + -2) = 0 (-24 + -6t) + -3(t + -2) = 0 Reorder the terms: -24 + -6t + -3(-2 + t) = 0 -24 + -6t + (-2 * -3 + t * -3) = 0 -24 + -6t + (6 + -3t) = 0 Reorder the terms: -24 + 6 + -6t + -3t = 0 Combine like terms: -24 + 6 = -18 -18 + -6t + -3t = 0 Combine like terms: -6t + -3t = -9t -18 + -9t = 0 Solving -18 + -9t = 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 + -9t = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -9t = 0 + 18 -9t = 0 + 18 Combine like terms: 0 + 18 = 18 -9t = 18 Divide each side by '-9'. t = -2 Simplifying t = -2
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