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Simplifying -39 = -4(p + 1) + 7(6p + -5) Reorder the terms: -39 = -4(1 + p) + 7(6p + -5) -39 = (1 * -4 + p * -4) + 7(6p + -5) -39 = (-4 + -4p) + 7(6p + -5) Reorder the terms: -39 = -4 + -4p + 7(-5 + 6p) -39 = -4 + -4p + (-5 * 7 + 6p * 7) -39 = -4 + -4p + (-35 + 42p) Reorder the terms: -39 = -4 + -35 + -4p + 42p Combine like terms: -4 + -35 = -39 -39 = -39 + -4p + 42p Combine like terms: -4p + 42p = 38p -39 = -39 + 38p Add '39' to each side of the equation. -39 + 39 = -39 + 39 + 38p Combine like terms: -39 + 39 = 0 0 = -39 + 39 + 38p Combine like terms: -39 + 39 = 0 0 = 0 + 38p 0 = 38p Solving 0 = 38p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-38p' to each side of the equation. 0 + -38p = 38p + -38p Remove the zero: -38p = 38p + -38p Combine like terms: 38p + -38p = 0 -38p = 0 Divide each side by '-38'. p = 0 Simplifying p = 0
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