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Simplifying x + 4(0.125 + -16th) = -4 x + (0.125 * 4 + -16ht * 4) = -4 x + (0.5 + -64ht) = -4 Reorder the terms: 0.5 + -64ht + x = -4 Solving 0.5 + -64ht + x = -4 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -64ht + -0.5 + x = -4 + -0.5 Reorder the terms: 0.5 + -0.5 + -64ht + x = -4 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -64ht + x = -4 + -0.5 -64ht + x = -4 + -0.5 Combine like terms: -4 + -0.5 = -4.5 -64ht + x = -4.5 Add '-1x' to each side of the equation. -64ht + x + -1x = -4.5 + -1x Combine like terms: x + -1x = 0 -64ht + 0 = -4.5 + -1x -64ht = -4.5 + -1x Divide each side by '-64t'. h = 0.0703125t-1 + 0.015625t-1x Simplifying h = 0.0703125t-1 + 0.015625t-1x
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