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Simplifying 6x + -6p + 7 = 5x + -8 Reorder the terms: 7 + -6p + 6x = 5x + -8 Reorder the terms: 7 + -6p + 6x = -8 + 5x Solving 7 + -6p + 6x = -8 + 5x Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -6p + -7 + 6x = -8 + -7 + 5x Reorder the terms: 7 + -7 + -6p + 6x = -8 + -7 + 5x Combine like terms: 7 + -7 = 0 0 + -6p + 6x = -8 + -7 + 5x -6p + 6x = -8 + -7 + 5x Combine like terms: -8 + -7 = -15 -6p + 6x = -15 + 5x Add '-6x' to each side of the equation. -6p + 6x + -6x = -15 + 5x + -6x Combine like terms: 6x + -6x = 0 -6p + 0 = -15 + 5x + -6x -6p = -15 + 5x + -6x Combine like terms: 5x + -6x = -1x -6p = -15 + -1x Divide each side by '-6'. p = 2.5 + 0.1666666667x Simplifying p = 2.5 + 0.1666666667x
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