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Simplifying 0.17(7t + -7) = t + 0.58 Reorder the terms: 0.17(-7 + 7t) = t + 0.58 (-7 * 0.17 + 7t * 0.17) = t + 0.58 (-1.19 + 1.19t) = t + 0.58 Reorder the terms: -1.19 + 1.19t = 0.58 + t Solving -1.19 + 1.19t = 0.58 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -1.19 + 1.19t + -1t = 0.58 + t + -1t Combine like terms: 1.19t + -1t = 0.19t -1.19 + 0.19t = 0.58 + t + -1t Combine like terms: t + -1t = 0 -1.19 + 0.19t = 0.58 + 0 -1.19 + 0.19t = 0.58 Add '1.19' to each side of the equation. -1.19 + 1.19 + 0.19t = 0.58 + 1.19 Combine like terms: -1.19 + 1.19 = 0.00 0.00 + 0.19t = 0.58 + 1.19 0.19t = 0.58 + 1.19 Combine like terms: 0.58 + 1.19 = 1.77 0.19t = 1.77 Divide each side by '0.19'. t = 9.315789474 Simplifying t = 9.315789474
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