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Simplifying 6p + -1(50 + 5) = -8 + -2(p + 12) Combine like terms: 50 + 5 = 55 6p + -1(55) = -8 + -2(p + 12) Multiply -1 * 55 6p + -55 = -8 + -2(p + 12) Reorder the terms: -55 + 6p = -8 + -2(p + 12) Reorder the terms: -55 + 6p = -8 + -2(12 + p) -55 + 6p = -8 + (12 * -2 + p * -2) -55 + 6p = -8 + (-24 + -2p) Combine like terms: -8 + -24 = -32 -55 + 6p = -32 + -2p Solving -55 + 6p = -32 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. -55 + 6p + 2p = -32 + -2p + 2p Combine like terms: 6p + 2p = 8p -55 + 8p = -32 + -2p + 2p Combine like terms: -2p + 2p = 0 -55 + 8p = -32 + 0 -55 + 8p = -32 Add '55' to each side of the equation. -55 + 55 + 8p = -32 + 55 Combine like terms: -55 + 55 = 0 0 + 8p = -32 + 55 8p = -32 + 55 Combine like terms: -32 + 55 = 23 8p = 23 Divide each side by '8'. p = 2.875 Simplifying p = 2.875
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