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Simplifying -6p + 7 = (32p + -3) + -4(10 + 4p) Reorder the terms: 7 + -6p = (32p + -3) + -4(10 + 4p) Reorder the terms: 7 + -6p = (-3 + 32p) + -4(10 + 4p) Remove parenthesis around (-3 + 32p) 7 + -6p = -3 + 32p + -4(10 + 4p) 7 + -6p = -3 + 32p + (10 * -4 + 4p * -4) 7 + -6p = -3 + 32p + (-40 + -16p) Reorder the terms: 7 + -6p = -3 + -40 + 32p + -16p Combine like terms: -3 + -40 = -43 7 + -6p = -43 + 32p + -16p Combine like terms: 32p + -16p = 16p 7 + -6p = -43 + 16p Solving 7 + -6p = -43 + 16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16p' to each side of the equation. 7 + -6p + -16p = -43 + 16p + -16p Combine like terms: -6p + -16p = -22p 7 + -22p = -43 + 16p + -16p Combine like terms: 16p + -16p = 0 7 + -22p = -43 + 0 7 + -22p = -43 Add '-7' to each side of the equation. 7 + -7 + -22p = -43 + -7 Combine like terms: 7 + -7 = 0 0 + -22p = -43 + -7 -22p = -43 + -7 Combine like terms: -43 + -7 = -50 -22p = -50 Divide each side by '-22'. p = 2.272727273 Simplifying p = 2.272727273
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