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Simplifying -7(3p + 2) + -49 = 4(2p + 6) Reorder the terms: -7(2 + 3p) + -49 = 4(2p + 6) (2 * -7 + 3p * -7) + -49 = 4(2p + 6) (-14 + -21p) + -49 = 4(2p + 6) Reorder the terms: -14 + -49 + -21p = 4(2p + 6) Combine like terms: -14 + -49 = -63 -63 + -21p = 4(2p + 6) Reorder the terms: -63 + -21p = 4(6 + 2p) -63 + -21p = (6 * 4 + 2p * 4) -63 + -21p = (24 + 8p) Solving -63 + -21p = 24 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -63 + -21p + -8p = 24 + 8p + -8p Combine like terms: -21p + -8p = -29p -63 + -29p = 24 + 8p + -8p Combine like terms: 8p + -8p = 0 -63 + -29p = 24 + 0 -63 + -29p = 24 Add '63' to each side of the equation. -63 + 63 + -29p = 24 + 63 Combine like terms: -63 + 63 = 0 0 + -29p = 24 + 63 -29p = 24 + 63 Combine like terms: 24 + 63 = 87 -29p = 87 Divide each side by '-29'. p = -3 Simplifying p = -3
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