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Simplifying 40 + -5p = -5(6 + -6p) 40 + -5p = (6 * -5 + -6p * -5) 40 + -5p = (-30 + 30p) Solving 40 + -5p = -30 + 30p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-30p' to each side of the equation. 40 + -5p + -30p = -30 + 30p + -30p Combine like terms: -5p + -30p = -35p 40 + -35p = -30 + 30p + -30p Combine like terms: 30p + -30p = 0 40 + -35p = -30 + 0 40 + -35p = -30 Add '-40' to each side of the equation. 40 + -40 + -35p = -30 + -40 Combine like terms: 40 + -40 = 0 0 + -35p = -30 + -40 -35p = -30 + -40 Combine like terms: -30 + -40 = -70 -35p = -70 Divide each side by '-35'. p = 2 Simplifying p = 2
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