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Simplifying -9(2p + 5) + -7(p + -27) = 21p + -40p Reorder the terms: -9(5 + 2p) + -7(p + -27) = 21p + -40p (5 * -9 + 2p * -9) + -7(p + -27) = 21p + -40p (-45 + -18p) + -7(p + -27) = 21p + -40p Reorder the terms: -45 + -18p + -7(-27 + p) = 21p + -40p -45 + -18p + (-27 * -7 + p * -7) = 21p + -40p -45 + -18p + (189 + -7p) = 21p + -40p Reorder the terms: -45 + 189 + -18p + -7p = 21p + -40p Combine like terms: -45 + 189 = 144 144 + -18p + -7p = 21p + -40p Combine like terms: -18p + -7p = -25p 144 + -25p = 21p + -40p Combine like terms: 21p + -40p = -19p 144 + -25p = -19p Solving 144 + -25p = -19p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '19p' to each side of the equation. 144 + -25p + 19p = -19p + 19p Combine like terms: -25p + 19p = -6p 144 + -6p = -19p + 19p Combine like terms: -19p + 19p = 0 144 + -6p = 0 Add '-144' to each side of the equation. 144 + -144 + -6p = 0 + -144 Combine like terms: 144 + -144 = 0 0 + -6p = 0 + -144 -6p = 0 + -144 Combine like terms: 0 + -144 = -144 -6p = -144 Divide each side by '-6'. p = 24 Simplifying p = 24
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