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Simplifying -52 = 4(p + -6) + -8(5p + -1) Reorder the terms: -52 = 4(-6 + p) + -8(5p + -1) -52 = (-6 * 4 + p * 4) + -8(5p + -1) -52 = (-24 + 4p) + -8(5p + -1) Reorder the terms: -52 = -24 + 4p + -8(-1 + 5p) -52 = -24 + 4p + (-1 * -8 + 5p * -8) -52 = -24 + 4p + (8 + -40p) Reorder the terms: -52 = -24 + 8 + 4p + -40p Combine like terms: -24 + 8 = -16 -52 = -16 + 4p + -40p Combine like terms: 4p + -40p = -36p -52 = -16 + -36p Solving -52 = -16 + -36p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '36p' to each side of the equation. -52 + 36p = -16 + -36p + 36p Combine like terms: -36p + 36p = 0 -52 + 36p = -16 + 0 -52 + 36p = -16 Add '52' to each side of the equation. -52 + 52 + 36p = -16 + 52 Combine like terms: -52 + 52 = 0 0 + 36p = -16 + 52 36p = -16 + 52 Combine like terms: -16 + 52 = 36 36p = 36 Divide each side by '36'. p = 1 Simplifying p = 1
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