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Simplifying 6(-9 + 3p) + 2(2 + -10p) = p + -11 + p + -11 (-9 * 6 + 3p * 6) + 2(2 + -10p) = p + -11 + p + -11 (-54 + 18p) + 2(2 + -10p) = p + -11 + p + -11 -54 + 18p + (2 * 2 + -10p * 2) = p + -11 + p + -11 -54 + 18p + (4 + -20p) = p + -11 + p + -11 Reorder the terms: -54 + 4 + 18p + -20p = p + -11 + p + -11 Combine like terms: -54 + 4 = -50 -50 + 18p + -20p = p + -11 + p + -11 Combine like terms: 18p + -20p = -2p -50 + -2p = p + -11 + p + -11 Reorder the terms: -50 + -2p = -11 + -11 + p + p Combine like terms: -11 + -11 = -22 -50 + -2p = -22 + p + p Combine like terms: p + p = 2p -50 + -2p = -22 + 2p Solving -50 + -2p = -22 + 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. -50 + -2p + -2p = -22 + 2p + -2p Combine like terms: -2p + -2p = -4p -50 + -4p = -22 + 2p + -2p Combine like terms: 2p + -2p = 0 -50 + -4p = -22 + 0 -50 + -4p = -22 Add '50' to each side of the equation. -50 + 50 + -4p = -22 + 50 Combine like terms: -50 + 50 = 0 0 + -4p = -22 + 50 -4p = -22 + 50 Combine like terms: -22 + 50 = 28 -4p = 28 Divide each side by '-4'. p = -7 Simplifying p = -7
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