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Simplifying 1x + 7p + -3y = 2x + 3p + -1y Reorder the terms: 7p + 1x + -3y = 2x + 3p + -1y Reorder the terms: 7p + 1x + -3y = 3p + 2x + -1y Solving 7p + 1x + -3y = 3p + 2x + -1y Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 7p + 1x + -3p + -3y = 3p + 2x + -3p + -1y Reorder the terms: 7p + -3p + 1x + -3y = 3p + 2x + -3p + -1y Combine like terms: 7p + -3p = 4p 4p + 1x + -3y = 3p + 2x + -3p + -1y Reorder the terms: 4p + 1x + -3y = 3p + -3p + 2x + -1y Combine like terms: 3p + -3p = 0 4p + 1x + -3y = 0 + 2x + -1y 4p + 1x + -3y = 2x + -1y Add '-1x' to each side of the equation. 4p + 1x + -1x + -3y = 2x + -1x + -1y Combine like terms: 1x + -1x = 0 4p + 0 + -3y = 2x + -1x + -1y 4p + -3y = 2x + -1x + -1y Combine like terms: 2x + -1x = 1x 4p + -3y = 1x + -1y Add '3y' to each side of the equation. 4p + -3y + 3y = 1x + -1y + 3y Combine like terms: -3y + 3y = 0 4p + 0 = 1x + -1y + 3y 4p = 1x + -1y + 3y Combine like terms: -1y + 3y = 2y 4p = 1x + 2y Divide each side by '4'. p = 0.25x + 0.5y Simplifying p = 0.25x + 0.5y
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