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Simplifying 4(p + -7) = 5(p + 1) Reorder the terms: 4(-7 + p) = 5(p + 1) (-7 * 4 + p * 4) = 5(p + 1) (-28 + 4p) = 5(p + 1) Reorder the terms: -28 + 4p = 5(1 + p) -28 + 4p = (1 * 5 + p * 5) -28 + 4p = (5 + 5p) Solving -28 + 4p = 5 + 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. -28 + 4p + -5p = 5 + 5p + -5p Combine like terms: 4p + -5p = -1p -28 + -1p = 5 + 5p + -5p Combine like terms: 5p + -5p = 0 -28 + -1p = 5 + 0 -28 + -1p = 5 Add '28' to each side of the equation. -28 + 28 + -1p = 5 + 28 Combine like terms: -28 + 28 = 0 0 + -1p = 5 + 28 -1p = 5 + 28 Combine like terms: 5 + 28 = 33 -1p = 33 Divide each side by '-1'. p = -33 Simplifying p = -33
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