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Simplifying 5x + 857(t + 7) = h + 6 Reorder the terms: 5x + 857(7 + t) = h + 6 5x + (7 * 857 + t * 857) = h + 6 5x + (5999 + 857t) = h + 6 Reorder the terms: 5999 + 857t + 5x = h + 6 Reorder the terms: 5999 + 857t + 5x = 6 + h Solving 5999 + 857t + 5x = 6 + h Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5999' to each side of the equation. 5999 + 857t + -5999 + 5x = 6 + -5999 + h Reorder the terms: 5999 + -5999 + 857t + 5x = 6 + -5999 + h Combine like terms: 5999 + -5999 = 0 0 + 857t + 5x = 6 + -5999 + h 857t + 5x = 6 + -5999 + h Combine like terms: 6 + -5999 = -5993 857t + 5x = -5993 + h Add '-5x' to each side of the equation. 857t + 5x + -5x = -5993 + h + -5x Combine like terms: 5x + -5x = 0 857t + 0 = -5993 + h + -5x 857t = -5993 + h + -5x Divide each side by '857'. t = -6.992998833 + 0.001166861144h + -0.005834305718x Simplifying t = -6.992998833 + 0.001166861144h + -0.005834305718x
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