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Simplifying -5(t + -6) + -6(t + 8) = 0 Reorder the terms: -5(-6 + t) + -6(t + 8) = 0 (-6 * -5 + t * -5) + -6(t + 8) = 0 (30 + -5t) + -6(t + 8) = 0 Reorder the terms: 30 + -5t + -6(8 + t) = 0 30 + -5t + (8 * -6 + t * -6) = 0 30 + -5t + (-48 + -6t) = 0 Reorder the terms: 30 + -48 + -5t + -6t = 0 Combine like terms: 30 + -48 = -18 -18 + -5t + -6t = 0 Combine like terms: -5t + -6t = -11t -18 + -11t = 0 Solving -18 + -11t = 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 + -11t = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -11t = 0 + 18 -11t = 0 + 18 Combine like terms: 0 + 18 = 18 -11t = 18 Divide each side by '-11'. t = -1.636363636 Simplifying t = -1.636363636
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