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Simplifying -4(5p + 2) + -47 = 3(4p + 3) Reorder the terms: -4(2 + 5p) + -47 = 3(4p + 3) (2 * -4 + 5p * -4) + -47 = 3(4p + 3) (-8 + -20p) + -47 = 3(4p + 3) Reorder the terms: -8 + -47 + -20p = 3(4p + 3) Combine like terms: -8 + -47 = -55 -55 + -20p = 3(4p + 3) Reorder the terms: -55 + -20p = 3(3 + 4p) -55 + -20p = (3 * 3 + 4p * 3) -55 + -20p = (9 + 12p) Solving -55 + -20p = 9 + 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. -55 + -20p + -12p = 9 + 12p + -12p Combine like terms: -20p + -12p = -32p -55 + -32p = 9 + 12p + -12p Combine like terms: 12p + -12p = 0 -55 + -32p = 9 + 0 -55 + -32p = 9 Add '55' to each side of the equation. -55 + 55 + -32p = 9 + 55 Combine like terms: -55 + 55 = 0 0 + -32p = 9 + 55 -32p = 9 + 55 Combine like terms: 9 + 55 = 64 -32p = 64 Divide each side by '-32'. p = -2 Simplifying p = -2
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