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Simplifying -4(3p + 4) + -47 = 3(2p + 3) Reorder the terms: -4(4 + 3p) + -47 = 3(2p + 3) (4 * -4 + 3p * -4) + -47 = 3(2p + 3) (-16 + -12p) + -47 = 3(2p + 3) Reorder the terms: -16 + -47 + -12p = 3(2p + 3) Combine like terms: -16 + -47 = -63 -63 + -12p = 3(2p + 3) Reorder the terms: -63 + -12p = 3(3 + 2p) -63 + -12p = (3 * 3 + 2p * 3) -63 + -12p = (9 + 6p) Solving -63 + -12p = 9 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -63 + -12p + -6p = 9 + 6p + -6p Combine like terms: -12p + -6p = -18p -63 + -18p = 9 + 6p + -6p Combine like terms: 6p + -6p = 0 -63 + -18p = 9 + 0 -63 + -18p = 9 Add '63' to each side of the equation. -63 + 63 + -18p = 9 + 63 Combine like terms: -63 + 63 = 0 0 + -18p = 9 + 63 -18p = 9 + 63 Combine like terms: 9 + 63 = 72 -18p = 72 Divide each side by '-18'. p = -4 Simplifying p = -4
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