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Simplifying -5(t + 2) + -6(t + 7) = 0 Reorder the terms: -5(2 + t) + -6(t + 7) = 0 (2 * -5 + t * -5) + -6(t + 7) = 0 (-10 + -5t) + -6(t + 7) = 0 Reorder the terms: -10 + -5t + -6(7 + t) = 0 -10 + -5t + (7 * -6 + t * -6) = 0 -10 + -5t + (-42 + -6t) = 0 Reorder the terms: -10 + -42 + -5t + -6t = 0 Combine like terms: -10 + -42 = -52 -52 + -5t + -6t = 0 Combine like terms: -5t + -6t = -11t -52 + -11t = 0 Solving -52 + -11t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + -11t = 0 + 52 Combine like terms: -52 + 52 = 0 0 + -11t = 0 + 52 -11t = 0 + 52 Combine like terms: 0 + 52 = 52 -11t = 52 Divide each side by '-11'. t = -4.727272727 Simplifying t = -4.727272727
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