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Simplifying 5p + -25 = 6(2p + -6) + -3 Reorder the terms: -25 + 5p = 6(2p + -6) + -3 Reorder the terms: -25 + 5p = 6(-6 + 2p) + -3 -25 + 5p = (-6 * 6 + 2p * 6) + -3 -25 + 5p = (-36 + 12p) + -3 Reorder the terms: -25 + 5p = -36 + -3 + 12p Combine like terms: -36 + -3 = -39 -25 + 5p = -39 + 12p Solving -25 + 5p = -39 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. -25 + 5p + -12p = -39 + 12p + -12p Combine like terms: 5p + -12p = -7p -25 + -7p = -39 + 12p + -12p Combine like terms: 12p + -12p = 0 -25 + -7p = -39 + 0 -25 + -7p = -39 Add '25' to each side of the equation. -25 + 25 + -7p = -39 + 25 Combine like terms: -25 + 25 = 0 0 + -7p = -39 + 25 -7p = -39 + 25 Combine like terms: -39 + 25 = -14 -7p = -14 Divide each side by '-7'. p = 2 Simplifying p = 2
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