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Simplifying 4(p + -2) = 5(p + -7) Reorder the terms: 4(-2 + p) = 5(p + -7) (-2 * 4 + p * 4) = 5(p + -7) (-8 + 4p) = 5(p + -7) Reorder the terms: -8 + 4p = 5(-7 + p) -8 + 4p = (-7 * 5 + p * 5) -8 + 4p = (-35 + 5p) Solving -8 + 4p = -35 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -8 + 4p + -5p = -35 + 5p + -5p Combine like terms: 4p + -5p = -1p -8 + -1p = -35 + 5p + -5p Combine like terms: 5p + -5p = 0 -8 + -1p = -35 + 0 -8 + -1p = -35 Add '8' to each side of the equation. -8 + 8 + -1p = -35 + 8 Combine like terms: -8 + 8 = 0 0 + -1p = -35 + 8 -1p = -35 + 8 Combine like terms: -35 + 8 = -27 -1p = -27 Divide each side by '-1'. p = 27 Simplifying p = 27
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