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Simplifying 7ax + tp = 3ax + r Solving 7ax + pt = 3ax + r Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3ax' to each side of the equation. 7ax + -3ax + pt = 3ax + -3ax + r Combine like terms: 7ax + -3ax = 4ax 4ax + pt = 3ax + -3ax + r Combine like terms: 3ax + -3ax = 0 4ax + pt = 0 + r 4ax + pt = r Add '-1pt' to each side of the equation. 4ax + pt + -1pt = -1pt + r Combine like terms: pt + -1pt = 0 4ax + 0 = -1pt + r 4ax = -1pt + r Divide each side by '4x'. a = -0.25ptx-1 + 0.25rx-1 Simplifying a = -0.25ptx-1 + 0.25rx-1
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