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Simplifying -1(2t + -0.07) = 0.9(1.4 + -1t) Reorder the terms: -1(-0.07 + 2t) = 0.9(1.4 + -1t) (-0.07 * -1 + 2t * -1) = 0.9(1.4 + -1t) (0.07 + -2t) = 0.9(1.4 + -1t) 0.07 + -2t = (1.4 * 0.9 + -1t * 0.9) 0.07 + -2t = (1.26 + -0.9t) Solving 0.07 + -2t = 1.26 + -0.9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.9t' to each side of the equation. 0.07 + -2t + 0.9t = 1.26 + -0.9t + 0.9t Combine like terms: -2t + 0.9t = -1.1t 0.07 + -1.1t = 1.26 + -0.9t + 0.9t Combine like terms: -0.9t + 0.9t = 0.0 0.07 + -1.1t = 1.26 + 0.0 0.07 + -1.1t = 1.26 Add '-0.07' to each side of the equation. 0.07 + -0.07 + -1.1t = 1.26 + -0.07 Combine like terms: 0.07 + -0.07 = 0.00 0.00 + -1.1t = 1.26 + -0.07 -1.1t = 1.26 + -0.07 Combine like terms: 1.26 + -0.07 = 1.19 -1.1t = 1.19 Divide each side by '-1.1'. t = -1.081818182 Simplifying t = -1.081818182
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