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Simplifying -19 + 2 + 10t = 18 + -5(-11t + -20) Combine like terms: -19 + 2 = -17 -17 + 10t = 18 + -5(-11t + -20) Reorder the terms: -17 + 10t = 18 + -5(-20 + -11t) -17 + 10t = 18 + (-20 * -5 + -11t * -5) -17 + 10t = 18 + (100 + 55t) Combine like terms: 18 + 100 = 118 -17 + 10t = 118 + 55t Solving -17 + 10t = 118 + 55t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-55t' to each side of the equation. -17 + 10t + -55t = 118 + 55t + -55t Combine like terms: 10t + -55t = -45t -17 + -45t = 118 + 55t + -55t Combine like terms: 55t + -55t = 0 -17 + -45t = 118 + 0 -17 + -45t = 118 Add '17' to each side of the equation. -17 + 17 + -45t = 118 + 17 Combine like terms: -17 + 17 = 0 0 + -45t = 118 + 17 -45t = 118 + 17 Combine like terms: 118 + 17 = 135 -45t = 135 Divide each side by '-45'. t = -3 Simplifying t = -3
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