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Simplifying -133 = 3(5p + -7) + -1p Reorder the terms: -133 = 3(-7 + 5p) + -1p -133 = (-7 * 3 + 5p * 3) + -1p -133 = (-21 + 15p) + -1p Combine like terms: 15p + -1p = 14p -133 = -21 + 14p Solving -133 = -21 + 14p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-14p' to each side of the equation. -133 + -14p = -21 + 14p + -14p Combine like terms: 14p + -14p = 0 -133 + -14p = -21 + 0 -133 + -14p = -21 Add '133' to each side of the equation. -133 + 133 + -14p = -21 + 133 Combine like terms: -133 + 133 = 0 0 + -14p = -21 + 133 -14p = -21 + 133 Combine like terms: -21 + 133 = 112 -14p = 112 Divide each side by '-14'. p = -8 Simplifying p = -8
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