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Simplifying -2(7p + 37) + 6(2p + 4) = p + -1(9p + 62) Reorder the terms: -2(37 + 7p) + 6(2p + 4) = p + -1(9p + 62) (37 * -2 + 7p * -2) + 6(2p + 4) = p + -1(9p + 62) (-74 + -14p) + 6(2p + 4) = p + -1(9p + 62) Reorder the terms: -74 + -14p + 6(4 + 2p) = p + -1(9p + 62) -74 + -14p + (4 * 6 + 2p * 6) = p + -1(9p + 62) -74 + -14p + (24 + 12p) = p + -1(9p + 62) Reorder the terms: -74 + 24 + -14p + 12p = p + -1(9p + 62) Combine like terms: -74 + 24 = -50 -50 + -14p + 12p = p + -1(9p + 62) Combine like terms: -14p + 12p = -2p -50 + -2p = p + -1(9p + 62) Reorder the terms: -50 + -2p = p + -1(62 + 9p) -50 + -2p = p + (62 * -1 + 9p * -1) -50 + -2p = p + (-62 + -9p) Reorder the terms: -50 + -2p = -62 + p + -9p Combine like terms: p + -9p = -8p -50 + -2p = -62 + -8p Solving -50 + -2p = -62 + -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. -50 + -2p + 8p = -62 + -8p + 8p Combine like terms: -2p + 8p = 6p -50 + 6p = -62 + -8p + 8p Combine like terms: -8p + 8p = 0 -50 + 6p = -62 + 0 -50 + 6p = -62 Add '50' to each side of the equation. -50 + 50 + 6p = -62 + 50 Combine like terms: -50 + 50 = 0 0 + 6p = -62 + 50 6p = -62 + 50 Combine like terms: -62 + 50 = -12 6p = -12 Divide each side by '6'. p = -2 Simplifying p = -2
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