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Simplifying 5p + -4 = -6(-6p + 9) + 7(-5 + -2p) Reorder the terms: -4 + 5p = -6(-6p + 9) + 7(-5 + -2p) Reorder the terms: -4 + 5p = -6(9 + -6p) + 7(-5 + -2p) -4 + 5p = (9 * -6 + -6p * -6) + 7(-5 + -2p) -4 + 5p = (-54 + 36p) + 7(-5 + -2p) -4 + 5p = -54 + 36p + (-5 * 7 + -2p * 7) -4 + 5p = -54 + 36p + (-35 + -14p) Reorder the terms: -4 + 5p = -54 + -35 + 36p + -14p Combine like terms: -54 + -35 = -89 -4 + 5p = -89 + 36p + -14p Combine like terms: 36p + -14p = 22p -4 + 5p = -89 + 22p Solving -4 + 5p = -89 + 22p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-22p' to each side of the equation. -4 + 5p + -22p = -89 + 22p + -22p Combine like terms: 5p + -22p = -17p -4 + -17p = -89 + 22p + -22p Combine like terms: 22p + -22p = 0 -4 + -17p = -89 + 0 -4 + -17p = -89 Add '4' to each side of the equation. -4 + 4 + -17p = -89 + 4 Combine like terms: -4 + 4 = 0 0 + -17p = -89 + 4 -17p = -89 + 4 Combine like terms: -89 + 4 = -85 -17p = -85 Divide each side by '-17'. p = 5 Simplifying p = 5
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