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Simplifying -25p + -6(2 + -5p) = 3(p + -5) * 7 -25p + (2 * -6 + -5p * -6) = 3(p + -5) * 7 -25p + (-12 + 30p) = 3(p + -5) * 7 Reorder the terms: -12 + -25p + 30p = 3(p + -5) * 7 Combine like terms: -25p + 30p = 5p -12 + 5p = 3(p + -5) * 7 Reorder the terms: -12 + 5p = 3(-5 + p) * 7 Reorder the terms for easier multiplication: -12 + 5p = 3 * 7(-5 + p) Multiply 3 * 7 -12 + 5p = 21(-5 + p) -12 + 5p = (-5 * 21 + p * 21) -12 + 5p = (-105 + 21p) Solving -12 + 5p = -105 + 21p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-21p' to each side of the equation. -12 + 5p + -21p = -105 + 21p + -21p Combine like terms: 5p + -21p = -16p -12 + -16p = -105 + 21p + -21p Combine like terms: 21p + -21p = 0 -12 + -16p = -105 + 0 -12 + -16p = -105 Add '12' to each side of the equation. -12 + 12 + -16p = -105 + 12 Combine like terms: -12 + 12 = 0 0 + -16p = -105 + 12 -16p = -105 + 12 Combine like terms: -105 + 12 = -93 -16p = -93 Divide each side by '-16'. p = 5.8125 Simplifying p = 5.8125
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