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Simplifying -19 + -3(t) = -5(4(t) + -20) Reorder the terms: -19 + -3t = -5(-20 + 4t) -19 + -3t = (-20 * -5 + 4t * -5) -19 + -3t = (100 + -20t) Solving -19 + -3t = 100 + -20t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '20t' to each side of the equation. -19 + -3t + 20t = 100 + -20t + 20t Combine like terms: -3t + 20t = 17t -19 + 17t = 100 + -20t + 20t Combine like terms: -20t + 20t = 0 -19 + 17t = 100 + 0 -19 + 17t = 100 Add '19' to each side of the equation. -19 + 19 + 17t = 100 + 19 Combine like terms: -19 + 19 = 0 0 + 17t = 100 + 19 17t = 100 + 19 Combine like terms: 100 + 19 = 119 17t = 119 Divide each side by '17'. t = 7 Simplifying t = 7
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