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Simplifying 112 = 8(5p + -6) Reorder the terms: 112 = 8(-6 + 5p) 112 = (-6 * 8 + 5p * 8) 112 = (-48 + 40p) Solving 112 = -48 + 40p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-40p' to each side of the equation. 112 + -40p = -48 + 40p + -40p Combine like terms: 40p + -40p = 0 112 + -40p = -48 + 0 112 + -40p = -48 Add '-112' to each side of the equation. 112 + -112 + -40p = -48 + -112 Combine like terms: 112 + -112 = 0 0 + -40p = -48 + -112 -40p = -48 + -112 Combine like terms: -48 + -112 = -160 -40p = -160 Divide each side by '-40'. p = 4 Simplifying p = 4
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