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Simplifying -4(5p + 3) + -40 = 3(4p + 4) Reorder the terms: -4(3 + 5p) + -40 = 3(4p + 4) (3 * -4 + 5p * -4) + -40 = 3(4p + 4) (-12 + -20p) + -40 = 3(4p + 4) Reorder the terms: -12 + -40 + -20p = 3(4p + 4) Combine like terms: -12 + -40 = -52 -52 + -20p = 3(4p + 4) Reorder the terms: -52 + -20p = 3(4 + 4p) -52 + -20p = (4 * 3 + 4p * 3) -52 + -20p = (12 + 12p) Solving -52 + -20p = 12 + 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. -52 + -20p + -12p = 12 + 12p + -12p Combine like terms: -20p + -12p = -32p -52 + -32p = 12 + 12p + -12p Combine like terms: 12p + -12p = 0 -52 + -32p = 12 + 0 -52 + -32p = 12 Add '52' to each side of the equation. -52 + 52 + -32p = 12 + 52 Combine like terms: -52 + 52 = 0 0 + -32p = 12 + 52 -32p = 12 + 52 Combine like terms: 12 + 52 = 64 -32p = 64 Divide each side by '-32'. p = -2 Simplifying p = -2
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