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Simplifying -10p + 4 = -3(10p + -3) + 9(3 + 4p) Reorder the terms: 4 + -10p = -3(10p + -3) + 9(3 + 4p) Reorder the terms: 4 + -10p = -3(-3 + 10p) + 9(3 + 4p) 4 + -10p = (-3 * -3 + 10p * -3) + 9(3 + 4p) 4 + -10p = (9 + -30p) + 9(3 + 4p) 4 + -10p = 9 + -30p + (3 * 9 + 4p * 9) 4 + -10p = 9 + -30p + (27 + 36p) Reorder the terms: 4 + -10p = 9 + 27 + -30p + 36p Combine like terms: 9 + 27 = 36 4 + -10p = 36 + -30p + 36p Combine like terms: -30p + 36p = 6p 4 + -10p = 36 + 6p Solving 4 + -10p = 36 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 4 + -10p + -6p = 36 + 6p + -6p Combine like terms: -10p + -6p = -16p 4 + -16p = 36 + 6p + -6p Combine like terms: 6p + -6p = 0 4 + -16p = 36 + 0 4 + -16p = 36 Add '-4' to each side of the equation. 4 + -4 + -16p = 36 + -4 Combine like terms: 4 + -4 = 0 0 + -16p = 36 + -4 -16p = 36 + -4 Combine like terms: 36 + -4 = 32 -16p = 32 Divide each side by '-16'. p = -2 Simplifying p = -2
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