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Simplifying -3(2p + 10) + -20 = -2(p + 11) + 8 Reorder the terms: -3(10 + 2p) + -20 = -2(p + 11) + 8 (10 * -3 + 2p * -3) + -20 = -2(p + 11) + 8 (-30 + -6p) + -20 = -2(p + 11) + 8 Reorder the terms: -30 + -20 + -6p = -2(p + 11) + 8 Combine like terms: -30 + -20 = -50 -50 + -6p = -2(p + 11) + 8 Reorder the terms: -50 + -6p = -2(11 + p) + 8 -50 + -6p = (11 * -2 + p * -2) + 8 -50 + -6p = (-22 + -2p) + 8 Reorder the terms: -50 + -6p = -22 + 8 + -2p Combine like terms: -22 + 8 = -14 -50 + -6p = -14 + -2p Solving -50 + -6p = -14 + -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 + -6p + 2p = -14 + -2p + 2p Combine like terms: -6p + 2p = -4p -50 + -4p = -14 + -2p + 2p Combine like terms: -2p + 2p = 0 -50 + -4p = -14 + 0 -50 + -4p = -14 Add '50' to each side of the equation. -50 + 50 + -4p = -14 + 50 Combine like terms: -50 + 50 = 0 0 + -4p = -14 + 50 -4p = -14 + 50 Combine like terms: -14 + 50 = 36 -4p = 36 Divide each side by '-4'. p = -9 Simplifying p = -9
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