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Simplifying 1qwe + 2rty + 3uio + 4asd + 5fgh + 6hjk + 7lzx + 8cvb + 9nm = 99 Reorder the terms: 4ads + 8bcv + 1eqw + 5fgh + 6hjk + 3iou + 7lxz + 9mn + 2rty = 99 Solving 4ads + 8bcv + 1eqw + 5fgh + 6hjk + 3iou + 7lxz + 9mn + 2rty = 99 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8bcv' to each side of the equation. 4ads + 8bcv + 1eqw + 5fgh + 6hjk + 3iou + 7lxz + 9mn + -8bcv + 2rty = 99 + -8bcv Reorder the terms: 4ads + 8bcv + -8bcv + 1eqw + 5fgh + 6hjk + 3iou + 7lxz + 9mn + 2rty = 99 + -8bcv Combine like terms: 8bcv + -8bcv = 0 4ads + 0 + 1eqw + 5fgh + 6hjk + 3iou + 7lxz + 9mn + 2rty = 99 + -8bcv 4ads + 1eqw + 5fgh + 6hjk + 3iou + 7lxz + 9mn + 2rty = 99 + -8bcv Add '-1eqw' to each side of the equation. 4ads + 1eqw + 5fgh + 6hjk + 3iou + 7lxz + 9mn + -1eqw + 2rty = 99 + -8bcv + -1eqw Reorder the terms: 4ads + 1eqw + -1eqw + 5fgh + 6hjk + 3iou + 7lxz + 9mn + 2rty = 99 + -8bcv + -1eqw Combine like terms: 1eqw + -1eqw = 0 4ads + 0 + 5fgh + 6hjk + 3iou + 7lxz + 9mn + 2rty = 99 + -8bcv + -1eqw 4ads + 5fgh + 6hjk + 3iou + 7lxz + 9mn + 2rty = 99 + -8bcv + -1eqw Add '-5fgh' to each side of the equation. 4ads + 5fgh + 6hjk + 3iou + 7lxz + 9mn + -5fgh + 2rty = 99 + -8bcv + -1eqw + -5fgh Reorder the terms: 4ads + 5fgh + -5fgh + 6hjk + 3iou + 7lxz + 9mn + 2rty = 99 + -8bcv + -1eqw + -5fgh Combine like terms: 5fgh + -5fgh = 0 4ads + 0 + 6hjk + 3iou + 7lxz + 9mn + 2rty = 99 + -8bcv + -1eqw + -5fgh 4ads + 6hjk + 3iou + 7lxz + 9mn + 2rty = 99 + -8bcv + -1eqw + -5fgh Add '-6hjk' to each side of the equation. 4ads + 6hjk + 3iou + 7lxz + 9mn + -6hjk + 2rty = 99 + -8bcv + -1eqw + -5fgh + -6hjk Reorder the terms: 4ads + 6hjk + -6hjk + 3iou + 7lxz + 9mn + 2rty = 99 + -8bcv + -1eqw + -5fgh + -6hjk Combine like terms: 6hjk + -6hjk = 0 4ads + 0 + 3iou + 7lxz + 9mn + 2rty = 99 + -8bcv + -1eqw + -5fgh + -6hjk 4ads + 3iou + 7lxz + 9mn + 2rty = 99 + -8bcv + -1eqw + -5fgh + -6hjk Add '-3iou' to each side of the equation. 4ads + 3iou + 7lxz + 9mn + -3iou + 2rty = 99 + -8bcv + -1eqw + -5fgh + -6hjk + -3iou Reorder the terms: 4ads + 3iou + -3iou + 7lxz + 9mn + 2rty = 99 + -8bcv + -1eqw + -5fgh + -6hjk + -3iou Combine like terms: 3iou + -3iou = 0 4ads + 0 + 7lxz + 9mn + 2rty = 99 + -8bcv + -1eqw + -5fgh + -6hjk + -3iou 4ads + 7lxz + 9mn + 2rty = 99 + -8bcv + -1eqw + -5fgh + -6hjk + -3iou Add '-7lxz' to each side of the equation. 4ads + 7lxz + 9mn + -7lxz + 2rty = 99 + -8bcv + -1eqw + -5fgh + -6hjk + -3iou + -7lxz Reorder the terms: 4ads + 7lxz + -7lxz + 9mn + 2rty = 99 + -8bcv + -1eqw + -5fgh + -6hjk + -3iou + -7lxz Combine like terms: 7lxz + -7lxz = 0 4ads + 0 + 9mn + 2rty = 99 + -8bcv + -1eqw + -5fgh + -6hjk + -3iou + -7lxz 4ads + 9mn + 2rty = 99 + -8bcv + -1eqw + -5fgh + -6hjk + -3iou + -7lxz Add '-9mn' to each side of the equation. 4ads + 9mn + -9mn + 2rty = 99 + -8bcv + -1eqw + -5fgh + -6hjk + -3iou + -7lxz + -9mn Combine like terms: 9mn + -9mn = 0 4ads + 0 + 2rty = 99 + -8bcv + -1eqw + -5fgh + -6hjk + -3iou + -7lxz + -9mn 4ads + 2rty = 99 + -8bcv + -1eqw + -5fgh + -6hjk + -3iou + -7lxz + -9mn Add '-2rty' to each side of the equation. 4ads + 2rty + -2rty = 99 + -8bcv + -1eqw + -5fgh + -6hjk + -3iou + -7lxz + -9mn + -2rty Combine like terms: 2rty + -2rty = 0 4ads + 0 = 99 + -8bcv + -1eqw + -5fgh + -6hjk + -3iou + -7lxz + -9mn + -2rty 4ads = 99 + -8bcv + -1eqw + -5fgh + -6hjk + -3iou + -7lxz + -9mn + -2rty Divide each side by '4ds'. a = 24.75d-1s-1 + -2bcd-1s-1v + -0.25d-1eqs-1w + -1.25d-1fghs-1 + -1.5d-1hjks-1 + -0.75d-1ios-1u + -1.75d-1ls-1xz + -2.25d-1mns-1 + -0.5d-1rs-1ty Simplifying a = 24.75d-1s-1 + -2bcd-1s-1v + -0.25d-1eqs-1w + -1.25d-1fghs-1 + -1.5d-1hjks-1 + -0.75d-1ios-1u + -1.75d-1ls-1xz + -2.25d-1mns-1 + -0.5d-1rs-1ty Reorder the terms: a = -2bcd-1s-1v + -0.25d-1eqs-1w + -1.25d-1fghs-1 + -1.5d-1hjks-1 + -0.75d-1ios-1u + -1.75d-1ls-1xz + -2.25d-1mns-1 + -0.5d-1rs-1ty + 24.75d-1s-1
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