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Simplifying 0 = (-9 + -6t) + (10t + -19) Remove parenthesis around (-9 + -6t) 0 = -9 + -6t + (10t + -19) Reorder the terms: 0 = -9 + -6t + (-19 + 10t) Remove parenthesis around (-19 + 10t) 0 = -9 + -6t + -19 + 10t Reorder the terms: 0 = -9 + -19 + -6t + 10t Combine like terms: -9 + -19 = -28 0 = -28 + -6t + 10t Combine like terms: -6t + 10t = 4t 0 = -28 + 4t Solving 0 = -28 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 0 + -4t = -28 + 4t + -4t Remove the zero: -4t = -28 + 4t + -4t Combine like terms: 4t + -4t = 0 -4t = -28 + 0 -4t = -28 Divide each side by '-4'. t = 7 Simplifying t = 7
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