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Simplifying 19 + -26.9t = 7.1t + -1(2t + -3) Reorder the terms: 19 + -26.9t = 7.1t + -1(-3 + 2t) 19 + -26.9t = 7.1t + (-3 * -1 + 2t * -1) 19 + -26.9t = 7.1t + (3 + -2t) Reorder the terms: 19 + -26.9t = 3 + 7.1t + -2t Combine like terms: 7.1t + -2t = 5.1t 19 + -26.9t = 3 + 5.1t Solving 19 + -26.9t = 3 + 5.1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5.1t' to each side of the equation. 19 + -26.9t + -5.1t = 3 + 5.1t + -5.1t Combine like terms: -26.9t + -5.1t = -32t 19 + -32t = 3 + 5.1t + -5.1t Combine like terms: 5.1t + -5.1t = 0.0 19 + -32t = 3 + 0.0 19 + -32t = 3 Add '-19' to each side of the equation. 19 + -19 + -32t = 3 + -19 Combine like terms: 19 + -19 = 0 0 + -32t = 3 + -19 -32t = 3 + -19 Combine like terms: 3 + -19 = -16 -32t = -16 Divide each side by '-32'. t = 0.5 Simplifying t = 0.5
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