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Simplifying -3(2p + 13) + -26 = -2(p + 14) + 11 Reorder the terms: -3(13 + 2p) + -26 = -2(p + 14) + 11 (13 * -3 + 2p * -3) + -26 = -2(p + 14) + 11 (-39 + -6p) + -26 = -2(p + 14) + 11 Reorder the terms: -39 + -26 + -6p = -2(p + 14) + 11 Combine like terms: -39 + -26 = -65 -65 + -6p = -2(p + 14) + 11 Reorder the terms: -65 + -6p = -2(14 + p) + 11 -65 + -6p = (14 * -2 + p * -2) + 11 -65 + -6p = (-28 + -2p) + 11 Reorder the terms: -65 + -6p = -28 + 11 + -2p Combine like terms: -28 + 11 = -17 -65 + -6p = -17 + -2p Solving -65 + -6p = -17 + -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. -65 + -6p + 2p = -17 + -2p + 2p Combine like terms: -6p + 2p = -4p -65 + -4p = -17 + -2p + 2p Combine like terms: -2p + 2p = 0 -65 + -4p = -17 + 0 -65 + -4p = -17 Add '65' to each side of the equation. -65 + 65 + -4p = -17 + 65 Combine like terms: -65 + 65 = 0 0 + -4p = -17 + 65 -4p = -17 + 65 Combine like terms: -17 + 65 = 48 -4p = 48 Divide each side by '-4'. p = -12 Simplifying p = -12
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