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Simplifying 4p + 3 + 6x + 9 = 9x + 5 Reorder the terms: 3 + 9 + 4p + 6x = 9x + 5 Combine like terms: 3 + 9 = 12 12 + 4p + 6x = 9x + 5 Reorder the terms: 12 + 4p + 6x = 5 + 9x Solving 12 + 4p + 6x = 5 + 9x Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 4p + -12 + 6x = 5 + -12 + 9x Reorder the terms: 12 + -12 + 4p + 6x = 5 + -12 + 9x Combine like terms: 12 + -12 = 0 0 + 4p + 6x = 5 + -12 + 9x 4p + 6x = 5 + -12 + 9x Combine like terms: 5 + -12 = -7 4p + 6x = -7 + 9x Add '-6x' to each side of the equation. 4p + 6x + -6x = -7 + 9x + -6x Combine like terms: 6x + -6x = 0 4p + 0 = -7 + 9x + -6x 4p = -7 + 9x + -6x Combine like terms: 9x + -6x = 3x 4p = -7 + 3x Divide each side by '4'. p = -1.75 + 0.75x Simplifying p = -1.75 + 0.75x
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