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Simplifying 2(-1p + -6) + -1p = -2p + -18 Reorder the terms: 2(-6 + -1p) + -1p = -2p + -18 (-6 * 2 + -1p * 2) + -1p = -2p + -18 (-12 + -2p) + -1p = -2p + -18 Combine like terms: -2p + -1p = -3p -12 + -3p = -2p + -18 Reorder the terms: -12 + -3p = -18 + -2p Solving -12 + -3p = -18 + -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. -12 + -3p + 2p = -18 + -2p + 2p Combine like terms: -3p + 2p = -1p -12 + -1p = -18 + -2p + 2p Combine like terms: -2p + 2p = 0 -12 + -1p = -18 + 0 -12 + -1p = -18 Add '12' to each side of the equation. -12 + 12 + -1p = -18 + 12 Combine like terms: -12 + 12 = 0 0 + -1p = -18 + 12 -1p = -18 + 12 Combine like terms: -18 + 12 = -6 -1p = -6 Divide each side by '-1'. p = 6 Simplifying p = 6
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