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Simplifying -5(4p + 4) + -28 = 4(3p + 4) Reorder the terms: -5(4 + 4p) + -28 = 4(3p + 4) (4 * -5 + 4p * -5) + -28 = 4(3p + 4) (-20 + -20p) + -28 = 4(3p + 4) Reorder the terms: -20 + -28 + -20p = 4(3p + 4) Combine like terms: -20 + -28 = -48 -48 + -20p = 4(3p + 4) Reorder the terms: -48 + -20p = 4(4 + 3p) -48 + -20p = (4 * 4 + 3p * 4) -48 + -20p = (16 + 12p) Solving -48 + -20p = 16 + 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. -48 + -20p + -12p = 16 + 12p + -12p Combine like terms: -20p + -12p = -32p -48 + -32p = 16 + 12p + -12p Combine like terms: 12p + -12p = 0 -48 + -32p = 16 + 0 -48 + -32p = 16 Add '48' to each side of the equation. -48 + 48 + -32p = 16 + 48 Combine like terms: -48 + 48 = 0 0 + -32p = 16 + 48 -32p = 16 + 48 Combine like terms: 16 + 48 = 64 -32p = 64 Divide each side by '-32'. p = -2 Simplifying p = -2
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